Question

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither

Y = -1/4x + 8
-2x + 8y = 4

A) parallel
B) perpendicular
C) neither

Answer 1

C) Neither

Explanation:

y = -1/4x + 8

-2x + 8y = 4

To compare the slopes we need to convert the second equation to the same form as the first ( that is slope/intercept form).

-2x + 8y = 4

8y = 2x + 4

Divide through by 8:-

y = 1/4 x + 1/2

The slope of the first line is -1/4 and its 1/4 for the second line.

If the slopes were the same the lines would be parallel and if they were perpendicular their product would be = -1.

The product is 1/4 * -1/4 = -1/16

So they are neither parallel nor perpendicular.