SOLUTION: Is the line that contains the points (3,-3) and (-7,8) perpendicular to the line that contains the points (-8,-3) and (3,7)?

Algebra ->  Graphs -> SOLUTION: Is the line that contains the points (3,-3) and (-7,8) perpendicular to the line that contains the points (-8,-3) and (3,7)?      Log On


   

Question 324183: Is the line that contains the points (3,-3) and (-7,8) perpendicular to the line that contains the points (-8,-3) and (3,7)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate both of the slopes.
m1=%28y2-y1%29%2F%28x2-x1%29=%288-%28-3%29%29%2F%28-7-3%29=-%2811%2F10%29
m2=%287-%28-3%29%29%2F%283-%28-8%29%29=10%2F11
Perpendicular lines have slopes that are negative reciprocals,
m1%2Am2=-1
-%2811%2F10%29%2810%2F11%29=-1
-1=-1
True, so therefore the lines are perpendicular.
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