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Question

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 thepoints (2, 3) and (11, 6) is parallel to the side through the points (-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)

Answer 1

A. Two lines are // when the slope of the points are equal

slope 1 = (6-3)/(11-2) =3/9= 1/3
slope 2 = (21-18)/(8- -3)= 3/11 So they are not //

Two lines are perp when the product of the slope is -1
slope 1 = 1/3
slope 2 = (18-3)/ (-3-2)= 15/-5= -3 so they are perp