SOLUTION: For the floor plans given in exercise 27: Points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the si

Question 66055This question is from textbook Beginning Algebra
: For the floor plans given in exercise 27: Points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18).
Please help me with this problem and explain how to do this. Any help is apreciated.Thanks. This question is from textbook Beginning Algebra

Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
Well for two lines to be perpendicualr they need to be opposite reciprical of eachother so just find the slope between the two lines and if they are opposite reciprical of eachother than they are perpendicular.

(2, 3) and (11, 6)
slope =
slope = 11-2/6-3
slope = 9/3
slope = 3

(2, 3) and (-3, 18)
slope =
slope = -3-2/18-3
slope = -5/15
slope = -1/3

since the slope between (2, 3) and (11, 6) is 3 and the slope between (2, 3) and (-3, 18) is -1/3 then the sides are perpendicualr to eachother.
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