# How do you find the slope perpendicular to #7x+2y=0#?

##### 3 Answers

By expressing this in the form

#### Explanation:

Firstly, let's transform

You might know, that to find a perpendicular line to any line you just have to find

If you don't know why, tell me in the comments and I'll do my best explaining it.

The perpedicular is

#### Explanation:

The given line has a slope equal to

Or if you will: For each 7 units x increases, y decreases 2 units.

The perpendicular, therefore, will have that for each 2 units x increases, y increases 7 units.

Therefore:

If you look at the graphs, I think you can see how this must be so.

I, therefore, leave the actual proof to you. (Look at the angles of the two graphs relative to the two axes.)

The slope perpendicular to

#### Explanation:

First, I would rewrite the equation