The graph represents y = −14

x − 3. Which coordinate pair is NOT a solution for the equation?
Responses
A (−8, −1)
B (−2, −4)
C (4, −4)
D (0, −3)
Question 2
Suppose −4 is the x-coordinate for a solution to the equation. What is the y-coordinate?
Responses
A −4
B −1
C −2
D 4

1 answer

For the first question, we can substitute the x and y values of each coordinate pair into the equation y = -14x - 3 to see if they satisfy the equation:

A) (-8, -1): y = -14(-8) - 3 = 113 - 3 = 110 (not a solution)
B) (-2, -4): y = -14(-2) - 3 = 29 - 3 = 26 (not a solution)
C) (4, -4): y = -14(4) - 3 = -56 - 3 = -59 (not a solution)
D) (0, -3): y = -14(0) - 3 = 0 - 3 = -3 (a solution)

Therefore, the coordinate pair that is NOT a solution for the equation is A) (-8, -1).

For the second question, we are given that x = -4, so we can substitute this value into the equation y = -14x - 3 to find the y-coordinate:

y = -14(-4) - 3 = 56 - 3 = 53

Therefore, the y-coordinate for the solution with x = -4 is 53.