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

##### 1 Answer

Apr 17, 2016

No

#### Explanation:

Perpendicular lines have a slope that is the **opposite (or negative) reciprocal** of the other. For example the perpendicular line of

*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)*