The graph represents y = −14

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

1 answer

For the first question, we can substitute the x and y coordinates of each answer choice into the equation y = -14x - 3 to see if they satisfy the equation.

A: (-8, -1)
-1 = -14(-8) - 3
-1 = 112 - 3
-1 = 109, which is not true. Therefore, (A) is not a solution.

B: (-2, -4)
-4 = -14(-2) - 3
-4 = 28 - 3
-4 = 25, which is not true. Therefore, (B) is not a solution.

C: (4, -4)
-4 = -14(4) - 3
-4 = -56 - 3
-4 = -59, which is not true. Therefore, (C) is not a solution.

D: (0, -3)
-3 = -14(0) - 3
-3 = -3, which is true. Therefore, (D) is a solution.

Therefore, the coordinate pair that is NOT a solution for the equation y = -14x - 3 is choice (A) (-8, -1).

For the second question, we are given that -4 is the x-coordinate.
We can substitute -4 into the equation y = -14x - 3 to find the y-coordinate.

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

Therefore, the y-coordinate is 53. The correct answer choice is (D) 53.