The graph represents y=-1/4x-3 which corrdinate pair is not a solution for the equation. (-8,-1), (-2,-4), (4,-4), (0,-3)

1 answer

To determine which coordinate pair is not a solution for the equation y = -1/4x - 3, we need to substitute the x and y values of each pair into the equation and check if the equation holds true.

For the coordinate pair (-8,-1):
y = -1/4x - 3
-1 = -1/4(-8) - 3
-1 = 2 - 3
-1 = -1

The equation holds true for the coordinate pair (-8,-1).

For the coordinate pair (-2,-4):
y = -1/4x - 3
-4 = -1/4(-2) - 3
-4 = 1/2 - 3
-4 = -2.5

The equation does not hold true for the coordinate pair (-2,-4).

For the coordinate pair (4,-4):
y = -1/4x - 3
-4 = -1/4(4) - 3
-4 = -1 - 3
-4 = -4

The equation holds true for the coordinate pair (4,-4).

For the coordinate pair (0,-3):
y = -1/4x - 3
-3 = -1/4(0) - 3
-3 = -3 -3
-3 = -6

The equation does not hold true for the coordinate pair (0,-3).

Therefore, the coordinate pairs that are not solutions for the equation y = -1/4x - 3 are (-2,-4) and (0,-3).
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