SOLUTION: decide whether lnes p1 and p2 are perpendicular: line p1:y= 3x + 5 line p2: y= 1/3x + 5

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Question 57851: decide whether lnes p1 and p2 are perpendicular:
line p1:y= 3x + 5
line p2: y= 1/3x + 5

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
decide whether lnes p1 and p2 are perpendicular:
line p1:y= highlight%283%29x + 5
line p2: y= highlight%281%2F3%29x + 5
Perpendicular lines have slopes that are negative reciprocals of each other (opposite signs and upside down).
The slope intercept form of a line is highlight%28y=mx%2Bb%29, where m is the slope and (0,b) is the y-intercept.
:
p1 has a slope of, m=3
p2 has a slope of, m=1/3
:
They are upsides down form each other, but they are NOT opposite signs from each other, therefore they are NOT perpendicular.
Graphically, here's what they look like. They are not intersecting at right angles:
graph%28300%2C200%2C-15%2C15%2C-10%2C10%2C3x%2B5%2C%281%2F3%29x%2B5%29
Happy Calculating!!!