SOLUTION: For the floor plans given in exercise 27, 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).

Algebra ->  Linear-equations -> SOLUTION: For the floor plans given in exercise 27, 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).       Log On


   

Question 88301: For the floor plans given in exercise 27, 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 by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Lets find the slope through (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





Lets find the slope through (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





Now lets multiply the first slope 1%2F3 by -3. If the product equals -1, then they are perpendicular

%281%2F3%29%28-3%29=-3%2F3=-1

Since the product between the two slopes is -1, this means they are perpendicular


Notice if we plot the points and draw lines between them, we get perpendicular lines