SOLUTION: how do you write an equation of the line that passes through the given point and is perpendicular to the given line? (1,-1) y=3x+2 please an thank you

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Question 387150: how do you write an equation of the line that passes through the given point and is perpendicular to the given line?
(1,-1) y=3x+2
please an thank you

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is the same as -3x + y = 2. The line perpendicular to this must have the form x+ 3y = c. To find c, use the coordinates of the given point:
1 + 3*-1 = c, or c = -2. Therefore the equation is x + 3y = -2.