SOLUTION: Are the lines through the pairs of points perpendicular: !(10,1),B(-10,2) and C(10,-9), D(-6,3)

Algebra ->  Linear-equations -> SOLUTION: Are the lines through the pairs of points perpendicular: !(10,1),B(-10,2) and C(10,-9), D(-6,3)      Log On


   

Question 955093: Are the lines through the pairs of points perpendicular:
!(10,1),B(-10,2) and C(10,-9), D(-6,3)
Found 2 solutions by macston, Fombitz:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Slope of !B=(2-1)/(-10-10)=-1/20
Slope of CD=(3-(-9))/-6-10=12/-16=-3/4
Slopes of perpendicular lines are negative reciprocals.
Lines are not perpendicular.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slopes.
m%5B1%5D=%282-1%29%2F%28-10-10%29=-1%2F20
.
.
m%5B2%5D=%283-%28-9%29%29%2F%28-6-10%29=12%2F%28-16%29=-%283%2F4%29
.
.
Perpendicular lines have slopes that are negative reciprocals,
-%281%2F20%29%2A%28-%283%2F4%29%29%3C%3E+-1
No, these lines are not perpendicular.