Question

. Which of the following equations represents the relationship shown in the

able?
A. y = x + 1
B. y=-2x+6
C. y=-x-6
D. y =2x-1
X
-2
0
1
3
4
y
10
6
4
0
-2

Answer 1

b

Explanation:

To determine which equation represents the relationship shown in the table, we can substitute the x-values from the table into each equation and see which one gives the corresponding y-values.

Let's evaluate each equation:

A. y = x + 1

- For x = -2, y = -2 + 1 = -1

- For x = 0, y = 0 + 1 = 1

- For x = 1, y = 1 + 1 = 2

- For x = 3, y = 3 + 1 = 4

- For x = 4, y = 4 + 1 = 5

B. y = -2x + 6

- For x = -2, y = -2(-2) + 6 = 4 + 6 = 10

- For x = 0, y = -2(0) + 6 = 0 + 6 = 6

- For x = 1, y = -2(1) + 6 = -2 + 6 = 4

- For x = 3, y = -2(3) + 6 = -6 + 6 = 0

- For x = 4, y = -2(4) + 6 = -8 + 6 = -2

C. y = -x - 6

- For x = -2, y = -(-2) - 6 = 2 - 6 = -4

- For x = 0, y = -(0) - 6 = 0 - 6 = -6

- For x = 1, y = -(1) - 6 = -1 - 6 = -7

- For x = 3, y = -(3) - 6 = -3 - 6 = -9

- For x = 4, y = -(4) - 6 = -4 - 6 = -10

D. y = 2x - 1

- For x = -2, y = 2(-2) - 1 = -4 - 1 = -5

- For x = 0, y = 2(0) - 1 = 0 - 1 = -1

- For x = 1, y = 2(1) - 1 = 2 - 1 = 1

- For x = 3, y = 2(3) - 1 = 6 - 1 = 5

- For x = 4, y = 2(4) - 1 = 8 - 1 = 7

Based on the evaluation, the equation that matches the y-values in the table is:

B. y = -2x + 6

So, the answer is B.