SOLUTION: A(-3;-6) B(3;-2) C(6;3) (a) Find the equation of line AB (b) Find the equation of a line parallel to line AB through point C (c) Find the equation of a line perpendicular to lin

Algebra ->  Points-lines-and-rays -> SOLUTION: A(-3;-6) B(3;-2) C(6;3) (a) Find the equation of line AB (b) Find the equation of a line parallel to line AB through point C (c) Find the equation of a line perpendicular to lin      Log On


   

Question 957248: A(-3;-6) B(3;-2) C(6;3)
(a) Find the equation of line AB
(b) Find the equation of a line parallel to line AB through point C
(c) Find the equation of a line perpendicular to line AB through point C
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope.
m=%28-2-%28-6%29%29%2F%283-%28-3%29%29=4%2F6=2%2F3
Using the point-slope form,
y-%28-2%29=%282%2F3%29%28x-3%29
y%2B2=%282%2F3%29x-2%7D%7D%0D%0A%7B%7B%7By=%282%2F3%29x-4
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Parallel lines have identical slopes.
%28y-3%29=%282%2F3%29%28x-6%29
y-3=%282%2F3%29x-4
y=%282%2F3%29x-1
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Perpendiular lines have slopes that are negative reciprocals.
%28y-3%29=-%283%2F2%29%28x-6%29
y-3=-%283%2F2%29x%2B9
y=-%283%2F2%29x%2B12
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