Question 40070: Floor plans for a building have the four corners of a room located at the points (2,3), (11,6), (-3,18) and (8,21). determine whether the side through the point (2,3) and (11,6) is perpendicular to the side throught the points (2,3) and (-3,18).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Floor plans for a building have the four corners of a room located at the points (2,3), (11,6), (-3,18) and (8,21). determine whether the side through the point (2,3) and (11,6) is perpendicular to the side through the point(2,3) and (-3,18).
The slope through (2,3) (11,6) is [6-3]/[11-2]=1/3
The slope through (2,3) (-3,18) is [18-3]/[-3-2]= 15/-5=-3
Since one is the negative reciprocal of the other the lines
are perpendicular.
Cheers,
Stan H.
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