Question

Which line is parallel to the line 8x + 2y = 12?

On a coordinate plane, a line goes through (negative 2, negative 4) and (0, 4).

On a coordinate plane, a line goes through (negative 1, 1) and (3, 0).

On a coordinate plane, a line goes through (negative 2, 2) and (negative 1, negative 2).

On a coordinate plane, a line goes through (negative 3, 2) and (1, 3).

Answer 1

First convert 8x + 2y = 12 to slope form: 2y = -8x + 12, so y = -4x + 6 and the slope is -4.

Compute slopes of the given lines:
- (-2,-4) to (0,4): slope = (4 - (-4)) / (0 - (-2)) = 8/2 = 4
- (-1,1) to (3,0): slope = (0 - 1) / (3 - (-1)) = -1/4
- (-2,2) to (-1,-2): slope = (-2 - 2) / (-1 - (-2)) = -4/1 = -4
- (-3,2) to (1,3): slope = (3 - 2) / (1 - (-3)) = 1/4

The third line (through (-2, 2) and (-1, -2)) has slope -4, so it is parallel.