# How do you write an equation in standard form for a line perpendicular to x+3y=6 and passing through (-3,5)?

##### 1 Answer

Fun fact:

Given an equation in

This is equivalent to reflecting the original line in the

So in your example, we can replace the original

with

to get a perpendicular line.

Then adding

which is in standard slope intercept form, with slope

The line we want to construct is parallel to this, so will have the same slope,

Given the slope

To convert this to slope intercept form, add