Question

Are the graphs of y = -2x + 4 and y = (1/4)x -2 parallel, perpendicular, or neither? *

Answer 1

neither

Explanation:

For two lines to be parallel, their slopes must be equal.

For two lines to be perpendicular, their slopes must have a product of -1. (The only exception is a vertical line and a horizontal line which are perpendicular, but the product of their slopes is not -1.)

When the equation of a line is written in the slope-intercept form,

y = mx + b,

m is the slope.

y = -2x + 4 has a slope of -2.

y = (1/4)x -2 has a slope of 1/4.

Clearly, -2 and 1/4 are not equal, so the lines are not parallel.

Now we find the product of the slopes.

(-2) * (1/4) = -2/4 = -1/2

The product of the slopes does not equal -1, so the lines are not perpendicular.

Answer: neither

Answer 2

Answer: Neither

Explanation:

For this to be paralell it would need to have the same slope. (They don't have the same.) For this to perpandicular it would have to reciporcal ( Ex: -2 reciporcal would -1/2 or 1/4 reciprocal would have to be 4)