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

Algebra ->  Linear-equations -> 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      Log On


   

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) About Me  (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)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%286+-+3%29%2F%2811+-+2%29


m+=+%283%29%2F%289%29


m+=+1%2F3



Answer: Slope is m+=+1%2F3




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)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+%28x%5B1%5D%29%29


m+=+%2821+-+18%29%2F%288+-+%28-3%29%29


m+=+%2821+-+18%29%2F%288+%2B+3%29


m+=+%283%29%2F%2811%29


Answer: Slope is m+=+3%2F11





Since the slope of the line through (2, 3) and (11, 6) is m=1%2F3 and the slope of the line through (-3, 18) and (8, 21) is m=3%2F11 this means the two slopes are not equal. So this means that the two lines are not parallel.