SOLUTION: Find the equation of the line that contains the point P(−3, 3) and is perpendicular to the graph of 2x + 6y = −5.

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that contains the point P(−3, 3) and is perpendicular to the graph of 2x + 6y = −5.       Log On


   

Question 1059698: Find the equation of the line that contains the point
P(−3, 3) and is perpendicular to the graph of 2x + 6y = −5.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
6y=-2x-5
y=-%281%2F3%29x-5%2F6
Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
m%5B2%5D=3
So then using the point-slope form,
y-3=3%28x-%28-3%29%29
y-3=3x%2B9
y=3x%2B12
3x-y=-12