Slopes of Parallel and Perpendicular Lines

Question

Are the given lines parallel? Explain your reasoning.

Question:

X=3, Y= -3

Are the lines going to be parallel?

Answer 1

The line X = 3, is a vertical line crossing the x-axis at 3 and parallel to the y-axis.

The line Y = -3, is a horizontal line crossing the y-axis at -3 and parallel to the x-axis.

Therefore, X = 3 and Y = -3 are perpendicular lines; since they are each parallel to the y- and x-axes respectively.