SOLUTION: A line passing through (2, –4) and (–4, y) is perpendicular to a line with slope 32. Find the value of y.

Algebra ->  Linear-equations -> SOLUTION: A line passing through (2, –4) and (–4, y) is perpendicular to a line with slope 32. Find the value of y.      Log On


   

Question 327854: A line passing through (2, –4) and (–4, y) is perpendicular to a line with slope 32. Find the value of y.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals,
m1%2Am2=-1
32%2Am2=-1
m2=-1%2F32
The equation for slope is,
m=%28y2-y1%29%2F%28x2-x1%29=%28y-%28-4%29%29%2F%28-4-2%29%29=-1%2F32
%28y%2B4%29%2F%28-6%29=-1%2F32
y%2B4=3%2F16
y=3%2F16-64%2F16
y=-61%2F16
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