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).

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) (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)

Answer: Slope is

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)

Answer: Slope is

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).

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