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).

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) (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)

Answer: Slope is

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)

Answer: Slope is

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

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

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