The steps in solving 5b - 6 = 24 are:

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

The answer is 123,000

Step-by-step explanation:

Do it yourself

The present value of the trust which grows at the rate of interest 8% for 25 years is equal to $ 36504.477

The future value of the trust is equal to  $250,000

Interest rate is equal to 8% per year

To calculate present value of the trust use the formula,

Present Value = Future Value / (1 + r)^n

r is the annual interest rate

n is the number of years.

Let us consider PV represents the present value of the trust.

Present age = 25 years

Maturity age of the trust = 50 years

Number of years used amount to mature is equal to,

= 50 - 25

= 25 years

Substitute the values into the present value formula we have,

PV = 250,000 / (1 + 0.08)^25

Simplify it we get,

⇒ PV = 250,000 / 6.848475

⇒ PV = 36504.477

Therefore, the present value of the trust mature for 25 years is equal to approximately $36504.477.

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Answer:

Age (in years) | Number of kids

3                      | 1

4                      | 5

5                      | 2

Step-by-step explanation:

In the picture there is one 3, five 4s, and two 5s.

So that means there is 1 kid that is 3.

5 kids that are 4,

and 2 kids that are 5.

Answer:

3       1

4        5

5         2

Step-by-step explanation:

thats the anwser on khan

Answer:

2827.43

I think this should be correct

Answer:

\(706.5\)

Step-by-step explanation:

The circumference can be rearranged to solve for r, or radius

C= 2πr ⇒ r=C/2π

\(\frac{94.2}{(2)(3.14)}=15\)

r=15

A= πr²

\(A=(3.14)(15)^{2}\)

\(A=(3.14)(225)\)

\(A=706.5\)

plz mark me brainliest. :)

After putting the value of y from the second equation to the first equation, the resultant equation is \(x=5\).

GIven:

The equations are:

\(3x + y = 1\\ y = 6 - 4x\)

It is required to put the value of y from second equation to the first equation.

The value of y from the second equation is,

\( y = 6 - 4x\)

Now, put this value of y in the first equation as,

\(3x + y = 1\\ 3x+(6 - 4x)=1\\ 3x+6-4x=1\\ -x=-5\\ x=5\)

Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is \(x=5\).

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Answer: 6/8 , 9/12 , 12/16 , 15/20, ect...

Step-by-step explanation:

Example:3*2   = 6

               4*2      8

You can check if it is equivalent by dividing the numerator and denominator by 2

Example:6 divided by 2= 3

               4  divided by 2   4

You can replace 2 with 3,4,5,6 ect...

3/4 multiplied by 3 =9/12, 3/4 multiplied by 4 is 12/16, 3/4 multiplied by 5 is 15/20.

Hope this helps, let me know if you want more examples.

        - - - - - - - - - - - -- - - - - - - - -  - - - - --  -- - - - - -- - - - - - - - - -- - - - - - - - -

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Find an equivalent fraction for the fraction below. 3/4

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

If fractions are equivalent, they are equal to each other.

An example of a fraction equal to 3/4 is:-

\(\bold{\displaystyle\frac{6}{8}} \dashleftarrow\sf{The\:numerator\:and\:denominator\:are\:multiplied\:by\:2}\)

This is just one example; in fact, there are infinitely many fractions equivalent to 3/4; you can multiply the numerator & denominator by 2:

6/8 = 12/16 =24/32...

You can also multiply by 3:-

9/12 =12/36...

You can multiply by 4, 5, 6, 7, 8....

Overall, you can multiply by any number you wish. As long as you multiply the numerator and denominator by the same number, you will get a fraction that's equivalent to the original fraction.

      -- - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - - -  - -- - - - - - - - -- -

Answer:

160 in³

Step-by-step explanation:

First, Find the area of the base (rectangle)

A = LxW

= (10 in) x (8 in)

= 80 in²

Then, Find the volume of the pyramid using the formula (V = ⅓ x B x H)

V = ⅓ x B x H

= ⅓ x (80 in²) x (6 in)

= (2 in) x (80 in²)

= 160 in³

To show that the function \(B: \mathbb{R}^2 \times \mathbb{R}^2 \to \mathbb{R}\), given by \(B((x_1, y_1), (x_2, y_2)) = ax_1y_1 + bx_2y_1 + cx_1y_2 + dy_2\), is negative definite, we need to prove that it satisfies two conditions:

For any non-zero vector\(v = (x, y) \in \mathbb{R}^2, B(v, v) < 0\).

The determinant of the matrix formed by the coefficients of B is positive: \(ac - b^2 > 0\).

Let's start with the first condition:

For \(v = (x, y) \in \mathbb{R}^2, B(v, v) = ax^2 + bxy + cxy + dy^2 = (a + c)x^2 + (b + d)xy + dy^2\).

Since we want B(v, v) to be negative for any non-zero vector v, the coefficient of \(x^2 (a + c)\) should be negative, and the determinant of the quadratic term \((b + d)^2 - 4ad\) should be negative as well.

Therefore, we have the following conditions:

\(a + c < 0 (1)\\\\(b + d)^2 - 4ad < 0 (2)\)

Now, let's move to the second condition:

We are given that B is negative definite, so we can assume that a, c, d ≠ 0 to avoid any degenerate cases.

To determine the sign of \(ac - b^2\), we can consider the determinant of the matrix formed by the coefficients:

\(\begin{bmatrix}a & b \\c & d \\\end{bmatrix}\)

The determinant is ad - bc, and for B to be negative definite, we want this determinant to be positive:

ad - bc > 0 (3)

Now, let's combine the conditions (1), (2), and (3):

From condition (1), we have a + c < 0, which implies c < -a.

From condition (2), we have\((b + d)^2 - 4ad < 0\), which implies \((b + d)^2 < 4ad\).

Now, let's multiply (1) by d and (2) by -c:

\(-d(a + c) > 0 (4)\\\\(c^2 - 4ac)d > 0 (5)\)

Adding (4) and (5), we get:

\(c^2 - 4ac - d(a + c) > 0\)

Rearranging terms, we have:

\(c^2 - 4ac - d(a + c) + 2ac - 2ac > 0\\\\c^2 - 2ac - d(a + c) + 2ac > 0\\\\(c^2 - 2ac) - (d(a + c) - 2ac) > 0\\\\c^2 - 2ac - (d - 2a)(a + c) > 0\)

Now, since c < -a, we have c + a < 0, which implies a + c < 0. Therefore, (a + c) is negative.

So, we can rewrite the inequality as:

\(c^2 - 2ac + (2a - d)(a + c) > 0\)

Since (2a - d) is negative, (a + c) is negative, and a < 0, we can conclude that:

\(ac - b^2 > 0.\)

Therefore, we have shown that B is negative definite if a < 0 and \(ac - b^2 > 0\).

Please note that in the given expression, there is a slight difference in the notation used (axıyı instead of \(ax_1y_1\)), but the approach and conclusion remain the same.

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Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem (\(a^{2}+b^{2}=c^{2}\)) to find the length of MP.

Given:

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

To Solve:

Since we know two values of the triangle, you can use the Pythagorean Theorem (\(a^{2}+b^{2}=c^{2}\)) to find what the other value is. The variables c and b in the formula are already given, and we need to find what a is to find the length of MP. So, plug the given values of c and b into the formula:

\(a^{2}+4^{2}=7^{2}\)

Simplify:

\(a^{2}+16=49\)

Subtract 16 from both sides of equation:

\(a^{2}=33\)

Do the square root of both sides to isolate the variable a:

\(\sqrt{a^{2}}=\sqrt{33}\)

Evaluate:

\(a=\sqrt{33}\)  Which simplifies to \(a= 5.744562646....\) and round it to the nearest tenth to finally get \(a=5.7\)

Answer: The length of MP is 5.7 units

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

Look at the first image below ↓

Description of the first image:

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side b of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side c) is 13cm because it’s the length of the radius. And side a is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side a, you need to add the length of the radius (which is 13cm) to the length of side a because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

Total information given:

⇒ radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

⇒ length of the surface where the water’s filled = 20cm

⇒ hypotenuse (side c) = 13cm  – because it’s the length of the radius

⇒ side b = 10cm  – because it’s half the length of the surface where the water’s filled

To Solve

Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  (\(a^{2}+b^{2}=c^{2}\)) to find the missing length of side a. Plug the given values of c and b into the formula:

\(a^{2}+10^{2}=13^{2}\)

Simplify:

\(a^{2}+100=169\)

Subtract 100 from both sides of the equation:

\(a^{2}=69\)

Do the square root of both sides to isolate the variable a:

\(\sqrt{a^{2}}=\sqrt{69}\)

Evaluate:

\(a=\sqrt{69}\)  Which simplifies to \(a= 8.30662386....\)  and round it to the nearest tenth to finally get \(a\) ≈ \(8.3\)

This means that 8.3 is just the length of side a, which is the length between the surface of where the water’s filled and the center of the circle. But, now you need to add 13 to 8.3 to find the total depth of the water because the length of the radius is included with the depth of the water.

So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! :)

Answer:

69

Step-by-step explanation:

If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

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Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000

formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

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This represents a harmonic oscillation with an amplitude of 1 and an angular frequency of 3, with no phase shift (δ = 0).

In a spring-mass system driven by an external force, the steady-state response occurs when the system reaches a stable oscillatory motion with constant amplitude and phase. To determine the steady-state response in the form Rcos(ωt−δ), we need to find the values of R, ω, and δ. In this case, the external force is given by F(t) = 27cos(3t)−18sin(3t) N. To find the steady-state response, we assume that the system has reached a stable oscillatory state and that the displacement of the mass can be represented by x(t) = Rcos(ωt−δ), where R is the amplitude, ω is the angular frequency, and δ is the phase angle.

By applying Newton's second law to the system, we have the equation of motion:

m * d^2x/dt^2 + b * dx/dt + kx = F(t)

where m is the mass, b is the damping coefficient (related to the resistance), k is the spring constant, and F(t) is the external force.

In this problem, the damping force is numerically equal to the magnitude of the instantaneous velocity, which means b = |v| = |dx/dt|. The mass is 2 kg and the spring constant is 3 N/m.

Substituting these values and the given external force into the equation of motion, we get:

2 * d^2x/dt^2 + |dx/dt| * dx/dt + 3x = 27cos(3t)−18sin(3t)

To find the steady-state response, we assume that the derivatives of x(t) are also periodic functions with the same frequency as the external force. Therefore, we can write x(t) = Rcos(ωt−δ) and substitute it into the equation of motion.

By comparing the coefficients of the cosine and sine terms on both sides of the equation, we can determine the values of R, ω, and δ. Solving the resulting equations, we find R = 1, ω = 3, and δ = 0.

Therefore, the steady-state response of the spring-mass system driven by the given external force is given by:

x(t) = cos(3t)

This represents a harmonic oscillation with an amplitude of 1 and an angular frequency of 3, with no phase shift (δ = 0).

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Step-by-step explanation:

Last year, Jorge's team earned $87. This year it wants to earn three times that amount. Therefore:

Goal for this year = 3 x (Last year's earning) = 3 x $87 = $261.

Answer:

c

Step-by-step explanation:

Answer:

B (2, 3)

The two lines intersect near that point.

I WILL USE THE REASONS CORRESPONDING ANGLES AND ANGLES ON THE STRAIGHT LINE. SINCE THE DIAGRAM LACKS FULL LABELLING THAT MAKES ME UNABLE TO EXPLAIN MORE USING DEMONSTRATION

\(3x - 3 + (4x - 6) = 180 \\ 3x + 4x - 3 - 6 =180 \\ 7x - 9 = 180 \\ 7x = 180 + 9 \\ 7x = 189 \\ \frac{7x}{7} = \frac{189}{7} \\ x = 27\)

ATTACHED IS THE SOLUTION x=27°

Answer:

x = 27

Step-by-step explanation:

3x - 3 and 4x - 6 are same- side exterior angles and sum to 180° , that is

3x - 3 + 4x - 6 = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

The probability of picking a 4 and then picking a 2 is 1/9

From the question, the given parameters are

Cards = 2, 3 and 4

Also, from the question, we have

The selected card is returned to the pack

So, the probability of selecting a card with number 4 is

P(4) =n(4)/Total

This gives

P(4) = 1/3

Also, the probability of selecting a card with number 2 is

P(2) =n(2)/Total

This gives

P(2) = 1/3

The required probability is

P(4 and 2) = 1/3 * 1/3

Evaluate

P(4 and 2) = 1/9

Hence, the probability is 1/9

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The simplified Boolean functions for the given Boolean functions are as follows: (a) F(w, x, y, z) = y’z’ + w’x + w’z(b) F(A, B, C, D) = (0, 1, 4, 5, 6, 7, 8, 9)(c) F(w, x, y, z) = (0, 2, 4, 5, 6, 7, 8, 10)(d) F(A, B, C, D) = (1, 5, 9, 10, 11, 14, 15)

The given Boolean functions are: (a) F(w, x, y, z)=E(1, 4, 5, 6, 12, 14, 15) (b) F(A, B, C, D)= (c) F(w, x, y, z) = (d)* F(A, B, C, D) = (1, 5, 9, 10, 11, 14, 15) (0, 1, 4, 5, 6, 7, 8, 9) (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)Boolean functions:  (a) F(w, x, y, z)=E(1, 4, 5, 6, 12, 14, 15)For this, the map for w, x, y, z is as follows:

Here, E(1, 4, 5, 6, 12, 14, 15) represents the cells that are shaded. Now, looking at the map, the simplified Boolean function will be F(w, x, y, z) = y’z’ + w’x + w’z (b) F(A, B, C, D)= For this, the map for A, B, C, D is as follows:Here, the Boolean function F(A, B, C, D) cannot be simplified since the cells that are shaded cannot be combined to make any product terms.

Therefore, the simplified Boolean function will be F(A, B, C, D) = (0, 1, 4, 5, 6, 7, 8, 9) (c) F(w, x, y, z) = For this, the map for w, x, y, z is as follows:

Here, we can see that the cells (0, 2, 4, 5, 6, 7, 8, 10) are shaded and cannot be combined to form any product terms. Therefore, the simplified Boolean function will be F(w, x, y, z) = (0, 2, 4, 5, 6, 7, 8, 10) (d)* F(A, B, C, D) = (1, 5, 9, 10, 11, 14, 15)For this, the map for A, B, C, D is as follows:Here, the Boolean function F(A, B, C, D) cannot be simplified since the cells that are shaded cannot be combined to make any product terms.

Therefore, the simplified Boolean function will be F(A, B, C, D) = (1, 5, 9, 10, 11, 14, 15)Therefore, the simplified Boolean functions for the given Boolean functions are as follows: (a) F(w, x, y, z) = y’z’ + w’x + w’z(b) F(A, B, C, D) = (0, 1, 4, 5, 6, 7, 8, 9)(c) F(w, x, y, z) = (0, 2, 4, 5, 6, 7, 8, 10)(d) F(A, B, C, D) = (1, 5, 9, 10, 11, 14, 15)

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The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Answer:

heyy! im reaaally sorry if its wrong but I think its c, f, d

brainliest? :)

Step-by-step explanation:

Answer:

7= D

8= F

9= C

Step-by-step explanation:

7. x - 3 \(\leq\) 7

     +3     +3

x \(\leq\) 10

8. 3b < 18

   /3       /3

    b < 6

9. \(\frac{y}{3}\) > 9

  *3    *3

 y > 27

10- 12 I am so sorry, but I don't understand these functions lol

Answer:x has to be greater than or equal to 64 baseball cards

Step-by-step explanation:

16 cards multiplied 4 times equal 64 with is the minimum number of cards given to his friends

Answer:

47

Step-by-step explanation:

The missing angle is complementary to the angle shown and together they from 90.

Your missing angle is 90 - 43

The correct answer is for given mystery is C. permutation

1. The base case "mystery([],[])." indicates that an empty list is a permutation of another empty list.

2. The recursive rule "mystery([X|Y],Z) :- mystery(Y,W), takeout(X,Z,W)." breaks the problem into smaller parts, finding the permutations of Y and removing the element X from Z to form W using the "takeout" predicate.

3. The "takeout" predicate is defined by two rules:
  a. "takeout(X,[X|R],R)." - If X is the first element of the list, the rest of the list is the result.
  b. "takeout(X,[F|R],[F|S]) :- takeout(X,R,S)." - If X is not the first element, recursively call "takeout" on the rest of the list and keep F (the first element) in the result.

This program generates the permutations of a given list.

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Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!