Question

Are the graph `y=5x+5` and `y=10x+5` perpendicular?

Answer 1

No

Explanation:

Perpendicular lines have a slope that is the opposite (or negative) reciprocal of the other. For example the perpendicular line of `y = 2x` would be `y = -1/2x`.

I have graphed `y = 2x` and `y = -1/2x`. These two lines are perpendicular to each other.

In this case, it's basically that if you multiply 5 by 2, then you would get 10 (which is the second equation's slope).

Notice the lines are not perpendicular. Instead they intersect at the point (0,5)