SOLUTION: for the floor plans given in exercise 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). THE FLO

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Question 104741: for the floor plans given in exercise 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).
THE FLOOR PLANS IN THE GIVEN EXERCISE ARE (2,3), (11,6), (-3, 18) AND (8,21)
Answer by Fombitz(13823) (Show Source):
You can put this solution on YOUR website!
Line 1 is through (2,3) and (11,6).
Line 2 is through points (2,3) and (-3, 18).
For lines to be perpendicular, their slopes are negative reciprocals,
or

Let's calculate the slope of both lines and see if this relationship holds.
The formula for the slope is :

For Line 1,

For Line 2,

When we look at the product of their slopes

We find that they are negative reciprocals and therefore the lines are perpendicular, as you can see by the graph below.