SOLUTION: For the floor plans given in execrise 27, determine wether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).

Algebra ->  Linear-equations -> SOLUTION: For the floor plans given in execrise 27, determine wether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).       Log On


   

Question 120733: For the floor plans given in execrise 27, determine wether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and
(-3,18).


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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 (2,3) and (-3,18).


Solved by pluggable solver: Finding the slope


Slope of the line through the points (2, 3) and (-3, 18)



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


m+=+%2818+-+3%29%2F%28-3+-+2%29


m+=+%2815%29%2F%28-5%29


m+=+-3



Answer: Slope is m+=+-3





%281%2F3%29%28-3%29=-3%2F3=-1 Now multiply the two slopes together

Since the product of the two slopes is equal to negative one, the two slopes are perpendicular.


Answer:

So the line through the points (2,3) and (11,6) is perpendicular to the line through the points (2,3) and (-3,18).