What is the equation of the line that passes through the point ( 4 , − 6 ) and has a slope of − 1

Answers

Answer 1

Answer:

The equation of a line can be expressed in slope-intercept form as y = mx + b, where m is the slope of the line and b is the y-intercept.

We know that the slope of the line is -1, and that the line passes through the point (4, -6).

Substituting these values into the slope-intercept form of the equation, we get:

-6 = (-1)(4) + b

Simplifying this equation, we get:

-6 = -4 + b

Adding 4 to both sides, we get:

-2 = b

So the y-intercept of the line is -2, and the equation of the line in slope-intercept form is:

y = -x - 2

Alternatively, we could use the point-slope form of the equation of a line, which states that the equation of a line passing through the point (x1, y1) with slope m is given by:

y - y1 = m(x - x1)

Substituting the values of the point and slope, we get:

y - (-6) = -1(x - 4)

Simplifying this equation, we get:

y + 6 = -x + 4

Subtracting 6 from both sides, we get:

y = -x - 2

So we get the same equation as before.


Related Questions

A number is multiplied by 6, and that product is added to 4. The sum is equal to the product of 2 and 23. Find the number.

Answers

The answer is 7.

To prove whether this is correct or not, just test it with the given conditions,

7x4+4=46.

Does 2x23=46?

Yes.

So, therefore,

The answer is 7.

Answer:

x=13

Step-by-step explanation:

6x+4=82

6x=78

Can anyone help me? It's hard for me to solve this problem
*Debt payments of $2,100 and $1,950 are due in six months and nine months, respectively. What single payment is required to settle both debts in one month? Assume a simple interest rate of 6.30% p.a. and use one month from now as the focal date.

Answers

The  required single payment is required to settle both debts in one month is $4071.26.

What is Simple interest?

Simple interest is the amount of interest charged on a specific pripal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

According to question:

We have,

Interest of 12 month = 6.30%

For one month = 6.30/12

= 0.525% per month

Total debt =  $2,100 +  $1,950

Total debt = $4050

Interest of one month = 0.525% of $4050

= $21.26

Net debt = $4050 + $21.26.

Thus, required single payment is required to settle both debts in one month is $4071.26.

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12 intr-un depozit sunt 968 tone de cereale: grau, orz și porumb. Cantitatea de orz este cu
19 tone mai mare decat jumătatea cantității de grau, iar porumb este cu 58 tone mai
mult decât orz Cáte tone de grâu, câte de orz și câte de porumb sunt în depozit? METODA GRAFICA PLS RAPID DAU COROANA LA PRIMUL CARE RSP

Answers

Answer:

explicatie pas cu pas:)

12 intr-un depozit sunt 968 tone de cereale: grau, orz i porumb. Cantitatea de orz este cu19 tone mai
12 intr-un depozit sunt 968 tone de cereale: grau, orz i porumb. Cantitatea de orz este cu19 tone mai

im really sorry but i really dont have any idea :-(

Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.​

Answers

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

what is the area of a 45 degree sector of a circle with a radius of 12 in.

Answers

given ,

a circle of radius 12 inches

and \(\theta\) = 45°

now we know that ,

\(\\{Area \: of \: sector = \frac{\theta}{360\degree} \times \pi \: r {}^{2} } \\ \\ \)

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

\(\\\dashrightarrow \: \frac{45}{360} \times \frac{22}{7} \times 12 \times 12 \\ \\ \dashrightarrow \: \frac{1}{8} \times \frac{22 \times 12 \times 12}{7} \\ \\ \dashrightarrow \: \frac{22 \times 12 \times 12}{56} \\ \\ \dashrightarrow \: \frac{3168}{56} \\ \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)\)

hope helpful :D

4) Find a solution to the following system of equations by graphing
X-y = 11
X-y = 5

!SHOW WORK PLEASE!

Answers

Answer:

No solution

Step-by-step explanation:

Given

\(x - y = 11\)

\(x - y = 5\)

Required

Solve by graph

See attachment for graph.

From the attachment, lines \(x - y = 11\) and \(x - y = 5\) do not intersect. This implies that, no solution exist

4) Find a solution to the following system of equations by graphingX-y = 11X-y = 5!SHOW WORK PLEASE!

PLEASE HELPPP ASAAP There is a picture above

PLEASE HELPPP ASAAP There is a picture above

Answers

Answer:

B) 8\(^{15}\)

Step-by-step explanation:

8³ × 8\(^{12}\)

When multiplying numbers with indices, you add the indices

3+12 = 15

so 8\(^{15}\)

Need help with #6 please help

Need help with #6 please help

Answers

Answer:

20 m

Step-by-step explanation:

the value of (-8/13×26/-3) ​

Answers

Answer:

5.33

Step-by-step explanation:

Given the expression -8/13×26/-3, getting the equivalent expression means multiplying the two fractions -8/13 and 26/-3 together as shown;

\(\frac{-8}{13} * \frac{26}{-3}\\ \\= \frac{-8*26}{13*-3}\\ \\multiplying\ out \ the\ numerator\ and\ denominator;\\\\= \frac{-208}{-39} \\\\cancelling out the negative sign we will have;\\\\= \frac{208}{39}\\\\= 5.33\\The\ resulting\ value\ is\ 5.33\)

Solve the polynomial equation by factoring and then using the zero-product principle.
4x = 864x
Rewrite the equation in factored form.
(Blank)= 0

What is the solution pair?

Answers

In response to the stated question, we may state that As a result, the equation's answer is x = 0.

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

4x = 864x is the provided equation.

This equation may be simplified by deleting 4x from both sides:

\(860x = 0\)

This equation may now be rewritten in factored form:

\(860x = 0 \sx(860) = 0\)

We know from the zero-product principle that if the product of two elements is zero, then at least one of them must be zero. As a result, we may set each component to zero and solve for x:

x = 0 or 860 = 0 (which is impossible) (which is impossible)

As a result, the equation's answer is x = 0.

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What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!

What is the volume of the solid?Cheese yd21.8 yd19.2 yd40.8 ydplease help!

Answers

Answer:

Step-by-step explanation:

Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards

Volume = 96 × 2 = 19.2 cubic yards

PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!

what is the period of the sinusoidal function? enter your answer in the box.

PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!what is the period of the sinusoidal function? enter your answer

Answers

Answer:

Step-by-step explanation:

10

Ws

Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.

What was the total amount of rainwater that Kyle collected last week?

Answers

Answer:

2.211 gallon of rainwater

Step-by-step explanation:

1.46 gallon + 0.751 gallon = 2.211 gallon

Find the value of -6 + 8(-3) ÷ 4
please help me .

Answers

Answer:

-12

Step-by-step explanation:

cause from the rule

we should always solve from bracket so -3×8= -24

and -24/4= -6

and -6-6

= -12

27. The reaction of haematite (Fe,O,) with carbon monoxide is given below.
Fe,0, + 3C0—2Fe + 300,
The no of CO molecules that react with one mole of haematite are,​

Answers

The answer is 800 but don’t put that on your test

To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.

Answers

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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6x4 as repeated addition

Answers

Answer:

6+ 6+6+6

or

4+4+4+4+4+4

Step-by-step explanation:

6 (4 times)

4 (6times)

(brainlist please):D

Answer:

6+6+6+6   or 4+4+4+4+4+4

Step-by-step explanation:

You can add them out

The slope indicates initial conditions.
O True
O False

Answers

The answer is: True

\( \\ \\ \\ \)

You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution

Answers

Answer:

greater than

Step-by-step explanation:

The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)

where x is the score of each student

Adding 5 to 10 student scores would be = x+5 - mean

increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.

Need help on this plz and thanks

Need help on this plz and thanks

Answers

Answer:

y = 5x - 25

Step-by-step explanation:

Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.

10 = 5 * (7) + b

10 = 35 + b

-25 = b

So final equation is y = 5x - 25.

area of a rectangle is 32ft² and a width of 8ft could you find the missing length?

area of a rectangle is 32ft and a width of 8ft could you find the missing length?

Answers

Yes we can find the length of the rectangle using the area and the width

32 = L 8

To find L let us divide both sides by 8

\(\frac{32}{8}=\frac{L8}{8}\)

32/8 = 4

8 up will cancel 8 down on the right side

\(4=L\)

The length of the rectangle is 4 ft

Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k

Answers

Answer: D

Step-by-step explanation:

I just got it wrong and D was the answer

nodadnotoday is my Spotify tho

The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.

The practical domain of the situation is ?
The practical range of the situation is ?

The function f(x) = -2(4)+1 +140 represents the number of tokens a child has x hours after arriving at

Answers

The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.

The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.

The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.

Differentiate the function with respect to x. Shot steps

Differentiate the function with respect to x. Shot steps

Answers

The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).

What is differentiation?

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

Its geometric meaning is the slope of tangent of the function at a given point.

The given function is as below,

y = sec⁻¹(x³)

The given function is a composite function of sec⁻¹x and x³.

In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,

dx³/dx = 3x²

And, dsec⁻¹x /dx = 1/x√(x² - 1)

Now, differentiation of sec⁻¹(x³) is given as,

d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))

                      = 3x/√(x² - 1)

Hence, the differentiation of the given function is 3x/√(x² - 1).

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PLEASE HELP! Determine the slope & the y-intercept of the following graphs.

PLEASE HELP! Determine the slope & the y-intercept of the following graphs.

Answers

Hey girl! It's me again to explain this to you :)

Number 21.) If we start from our y-intercept -2 and move up 2 on our y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.

Slope: 2/1 or just 2

Y-intercept: -2

You didn't ask for this but i'm gonna write it anyways. The equation for this line is y=2x-2

Number 22.) If we start from our y-intercept 2 and move down 2 on your y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.

Slope: -2/1 or just -2

Y-intercept: 2

Again you didn't ask for this but the equation for this line is y=-2x+2

Hope this helped you understand and again make this brainliest and reply if you need more help or have any more questions :)

Step-by-step explanation:

An isosceles triangle has vertices at (-5, 4), (2, 4) and (-1.5, -3.5). Each of its two congruent sides are 8.3 units long. Calculate both the area and perimeter of the triangle. Explain or show you got your answers.

Answers

Hmmmmmmmmmmmmmm 2.849 to the 89 max

Answer:

unit long

Step-by-step explanation:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
Question 5 options:

A)

||

B)



C)



D)

∠F ≅ ∠H

What additional information would allow you to prove the quadrilateral is a parallelogram according to

Answers

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

How to prove the statement

We need to know the properties of a parallelogram, we have;

Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.Same-Side interior angles (consecutive angles) are supplementary.

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

how do u graph the solution y=2x-1 iready

Answers

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.

Answers

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!

PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!

Answers

I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho

Step-by-step explanation:

substitute y = 7x + 3 in equation 2

9x - 2y = 14

9x - 2(7x + 3) = 14

9x - 14x + 6 = 14

-5x + 6 = 14

-5x = 14 - 6

x = 8 ÷ 5

x = 1.6

subs x = 1.6 into equation 1

y = 7x + 3

y = 7(1.6) + 3

y = 11.2 + 3

y = 14.2

thus, x = 1.6, y = 14.2

Other Questions
Find the mode of the following amounts (in thousands of dollars) in checking accounts of randomly selected people aged 20-25. 2,4,4,7,2,9,9,2,4,4,11 iron deficiency is the cause of about ____ of all cases of anemia. Media outlets often have websites that provide in-depth coverage of news and events. Portions of these websites are restricted to members who pay a monthly subscription to gain access to exclusive news and commentary. These websites typically offer a free trial period to introduce viewers to the website. Assume that during a recent fiscal year, one outlet spent $2,368,800 on a promotional campaign for its website that offered two free months of service for new subscribers. In addition, assume the following information:Number of months an average new customer stays with the service (including the two free months) 22 monthsRevenue per month per customer subscription $21Variable cost per month per customer subscription $7Determine the number of new customer accounts needed to break even on the cost of the promotional campaign. In forming your answer:a. treat the cost of the promotional campaign as a fixed costb. treat the revenue less variable cost per account for the subscription period as the unit contribution margin. Enjoy This Point 1+1 What does it mean to democratize knowledge? A. To provide people with equal access to information and to allow them to contribute to that information as well B. To give everyone a chance to decide what information is shared by voting C. To allow a group of people to decide what is important for the public to know D. To grant everyone the right to own and use a computer or any other electronic device Where does the narrator spend the night?O in a hotelO on the streetsO in a house of the godsO in his best friend's garage It might seem like a lot to do, but, I really need help. I need you to help me figure out, the theme is developed for the story "if" (which is below) and it will need to have specific evidence from the poem. And then can you explain how they are developed in "cant" (which is also below) And then can you summarize how the two poems and similar and/or different. Thank You! :3Cantby Edgar GuestCant is the worst word thats written or spoken;Doing more harm here than slander and lies;On it is many a strong spirit broken,And with it many a good purpose dies.It springs from the lips of the thoughtless each morningAnd robs us of courage we need through the day:It rings in our ears like a timely sent warningAnd laughs when we falter and fall by the way.Cant is the father of feeble endeavor,The parent of terror and halfhearted work;It weakens the efforts of artisans clever,And makes of the toiler an indolent shirk.It poisons the soul of the man with a vision,It stifles in infancy many a plan;It greets honest toiling with open derisionAnd mocks at the hopes and the dreams of a man.Cant is a word none should speak without blushing;To utter it should be a symbol of shame;Ambition and courage it daily is crushing;It blights a mans purpose and shortens his aim.Despise it with all of your hatred of error;Refuse it the lodgment it seeks in your brain;Arm against it as a creature of terror,And all that you dream of you someday shall gain.Cant is the word that is foe to ambitionAn enemy ambushed to shatter your will;Its prey is forever the man with a missionAnd bows but to courage and patience and skill.Hate it, with hatred thats deep and undying,For once it is welcomed twill break any man;Whatever the goal you are seeking, keep tryingAnd answer this demon by saying: I can. EndIfIf you can keep your head when all about youAre losing theirs and blaming it on you;If you can trust yourself when all men doubt you,But make allowance for their doubting too;If you can wait and not be tired by waiting,Or, being lied about, dont deal in lies,Or, being hated, dont give way to hating,And yet dont look too good, nor talk too wise;If you can dreamand not make dreams your master;If you can thinkand not make thoughts your aim;If you can meet with triumph and disasterAnd treat those two impostors just the same;If you can bear to hear the truth youve spokenTwisted by knaves to make a trap for fools,Or watch the things you gave your life to broken,And stoop and build em up with worn-out tools;If you can make one heap of all your winningsAnd risk it on one turn of pitch-and-toss,And lose, and start again at your beginningsAnd never breathe a word about your loss;If you can force your heart and nerve and sinewTo serve your turn long after they are gone,And so hold on when there is nothing in youExcept the Will which says to them: Hold on!If you can talk with crowds and keep your virtue,Or walk with kingsnor lose the common touch;If neither foes nor loving friends can hurt you;If all men count with you, but none too much;If you can fill the unforgiving minuteWith sixty seconds worth of distance runYours is the Earth and everything thats in it,Andwhich is moreyoull be a Man, my son! End Approximately 17.7% of vehicles traveling on a certain stretch of expressway exceed 110 kilometers per hour. If a state trooper randomly selects 154 vehicles and captures their speeds with a radar gun, what is the probability that at least 35 of the selected vehicles exceed 110 kilometers per hour?Use Excel to find the probability, rounding your answer to four decimal places. If p=3/4(x+y)d find p when x=8,y=10,d=1/2 when 10 is added to a number, the result is 20. what is the number? In a PARAGRAPH, describe some ways that the early Christians preserved the Psalms.And please is a PARAGRAPH and please check all of your grammar so I can understand. Thanks! Spring tides are extreme tide events that happen when the earth, moon, and the sun are aligned; happens at full and new moon phases. true or false Find the derivative. r=16cos 40 POINTS! Plz help ! PLEASE HELP ME IVE BEEN STUCK ON THIS FOR HOURSWhat major U.S. cities could the Soviets have bombed with their medium-range missiles fired from Cuba? 21)Of these choices, the BEST example of a regressive tax in the United States isA)corporation taxB)the state income tax.the federal personal income tax.D)the federal excise tax on gasoline. The container hold 1/2 gallon of water. It is 3/4 full. How many gallons of water are in the container? What symbolic relationship are in coral reefs? What are the 4 factors that affect price?. x/4=2/5 I suck at math help me.