SOLUTION: Triangle DEF has vertices D (3, 4), E (4, -3), and F (-4, -1). The midpoint of line segment EF̅̅̅̅ is (0, −2) Find the equation of the perpendicular

Algebra ->  Test -> SOLUTION: Triangle DEF has vertices D (3, 4), E (4, -3), and F (-4, -1). The midpoint of line segment EF̅̅̅̅ is (0, −2) Find the equation of the perpendicular      Log On


   

Question 1050556: Triangle DEF has vertices D (3, 4), E (4, -3), and F (-4, -1).
The midpoint of line segment EF̅̅̅̅ is (0, −2)
Find the equation of the perpendicular bisector of edge EF̅̅̅̅.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of line EF.
Slope,
m=%28-3-%28-1%29%29%2F%284-%28-4%29%29=%28-2%29%2F8=-1%2F4
A perpendicular line would have a slope that is the negative reciprocal,
-%281%2F4%29%2Am%5B2%5D=-1
m%5B2%5D=4
So then using the point-slope form of the line with (0,-2),
y-%28-2%29=4%28x-0%29
y%2B2=4x
y=4x-2
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