Homework Help: geomerty

Posted by cassie on Thursday, July 7, 2011 at 5:53pm.

A line contains the points (0, -2) and (1,3). Another line graphed in the same coordinate plane contains the points (3, -1) and (-2,0).
Based on the slope of these lines, are they parallel, perpendicular or neither?

geomerty - Henry, Friday, July 8, 2011 at 9:17pm
(0,-2),(1,3).
(3,-1),(-2,0).

m1 = (3-(-2)) / (1-0) = 5/1 = 5.

m2 = (0-(-1)) / (-2-3) = 1/-5 = -1/5.

mi and m2 are negative reciprocals of each other.Therefore, the lines are
perpendicular.

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