How do you find the slope perpendicular to #7x+2y=0#?
By expressing this in the form
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
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.
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.)
First, I would rewrite the equation