SOLUTION: Write an equation in point slope form of the line through the point (-5, 2) perpendicular to the line with equation 4x +3y =7y

Algebra ->  Graphs -> SOLUTION: Write an equation in point slope form of the line through the point (-5, 2) perpendicular to the line with equation 4x +3y =7y      Log On


   



Question 1087026: Write an equation in point slope form of the line through the point (-5, 2) perpendicular to the line with equation 4x +3y =7y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming there shouldn't be a "y" after the 7 on the right hand side.
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4x%2B3y=7
Find the slope.
3y=-4x%2B7
y=-%284%2F3%29x%2B7%2F3
Perpendicular lines have slopes that are negative reciprocals,
m%5BP%5D%2A%28-4%2F3%29=-1
m%5BP%5D=3%2F4
So then,
+y-2=%283%2F4%29%28x%2B5%29+
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