Question

Are the graphs of the equations parallel, perpendicular, or neither? y = 4x + 1 and y = -4x -

Answer 1

Neither.

Parallel lines have the same slope, while perpendicular lines have negative reciprocal slopes (multiplying their slopes result in a product of - 1). The negative reciprocal of 4 is -1/4, and the negative reciprocal of -4 is 1/4.

Since the slopes of both lines are not the same, and that they are not negative reciprocals, then the correct answer is neither.

Answer 2

Answer:

I am not sure if you fully typed the second equation, but both of these that are written down intersect, there for are perpendicular.

If the second equation is incorrect, let me know and I'll be happy to help you :)