I don’t get this (Parrallel and perpendicular lines)

Question

y=2x-5 and y=2x+5

The question is asking me if the lines are parrallel, perpendicular or neither

how do I know??

Answer 1

Perpendicular lines have slopes that are the inverse of each other and the opposite sign. Parallel lines have the sam slope, but differing y intercepts.

y=2x-5

slope = 2

y=2x+5

slope is 2

Same slope! They are parallel, but not the same line because the first has a y intercept of -5 and the second has a y intercept of +5.