How do you write an equation in standard form for a line perpendicular to x+3y=6 and passing through (-3,5)?
Given an equation in
This is equivalent to reflecting the original line in the
So in your example, we can replace the original
to get a perpendicular line.
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