SOLUTION: Find the slope of AC and BD. Decide whether AC is perpendicular to BD. A(-1,-2) B(-3,2) C(0,1) D(3,0)

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Question 446858: Find the slope of AC and BD. Decide whether AC is perpendicular to BD.
A(-1,-2) B(-3,2) C(0,1) D(3,0)

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Slope of Line Ac
x1 y1 x2 y2
-1 -2 0 1

slope m =(y2-y1)/(x2-x1)
(1-(-2)/(0-1)
(3/1)
m=3
Slope of line BD
x1 y1 x2 y2
-3 2 3 0

slope m =(y2-y1)/(x2-x1)
(0-2)/( 3-(-3) )
(-2/6)
m=-0.33
m1*m2=-1
so the lines are perpendicular


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