SOLUTION: 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). For the floor plans given above, determine whether the side

Algebra ->  Linear-equations -> SOLUTION: 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). For the floor plans given above, determine whether the side      Log On


   



Question 118790: 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).
For the floor plans given above, determine whether the side throught he points (2,3) and (11,6) is perpendicualr to the side throught he points (2,3) and (-3,18).

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPES OF THESE TWO LINES CONNECTING THESE POINTS WILL TELL THE STORY:
(6-3)/(11-2)=3/9=1/3 FOR THE FIRST SLOPE.
(18-3)/(-3-2)=15/-5=-3 FOR THE SECOND SLOPE.
SEEING AS THESE TWO SLOPES ARE NEGATIVE RECIPRICALS OF EACH OTHER THAT SAYS THAT THESE LINES ARE PERPENDICULAR.