How do you find the equation, in standard form, of the line perpendicular to #2x + 3y = -5# and passing through (3, -5)?
The first information that we have is that we're looking for a line passing through
So, the lines passing through
Now, two lines are perpendicular if their slopes
From this relation, we have
Here's a link where you can check that the two lines are perpendicular, and that the second one passes through