SOLUTION: Find the slope of a line parallel to the given line and a line perpendicular to the given line with the line containing (2,-4) and (5,1)

Algebra ->  Graphs -> SOLUTION: Find the slope of a line parallel to the given line and a line perpendicular to the given line with the line containing (2,-4) and (5,1)      Log On


   

Question 349478: Find the slope of a line parallel to the given line and a line perpendicular to the given line with the line containing (2,-4) and (5,1)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope using the two points.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%281-%28-4%29%29%2F%285-2%29=5%2F3
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A parallel line would have an identical slope, highlight%28m1=m2=5%2F3%29.
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A perpendicular line would have a slope that is a negative reciprocal, m1%2Am2=-1
%285%2F3%29%2Am2=-1
highlight%28m2=-3%2F5%29