SOLUTION: 3. Geometry. 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

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Question 120644: 3. Geometry. 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
points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
#3

First let's find the slope through the points (2, 3) and (11, 6)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (2, 3) and (11, 6)
















Answer: Slope is




Now let's find the slope through the points (-3, 18) and (8, 21).

Solved by pluggable solver: Finding the slope


Slope of the line through the points (-3, 18) and (8, 21)


















Answer: Slope is





Since the slope of the line through (2, 3) and (11, 6) is and the slope of the line through (-3, 18) and (8, 21) is this means the two slopes are not equal. So this means that the two lines are not parallel.

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