SOLUTION: Tell whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2. (5,3),(7,-1) (5,3),(7,-3) (5,3),(7,4)

Algebra ->  Linear-equations -> SOLUTION: Tell whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2. (5,3),(7,-1) (5,3),(7,-3) (5,3),(7,4)      Log On


   

Question 111443: Tell whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2.
(5,3),(7,-1)
(5,3),(7,-3)
(5,3),(7,4)
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
Tell whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2.
(5,3),(7,-1)
(5,3),(7,-3)
(5,3),(7,4)
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Parallel lines have the same slope
Perpendicular lines have negative reciprocal slope
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Use the point-slope formula;
m=%28Y2-Y1%29%2F%28X2-X1%29
m=%28-1-3%29%2F%287-5%29
m=-4%2F2=-2
Same slope, line is parallel
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m=%28-3-3%29%2F%287-5%29
m=-6%2F2=-3
neither
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m=%284-3%29%2F%287-5%29
m=1%2F2
Negative reciprocal of -2, so line is perpendicular
:)