SOLUTION: Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain.

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Question 529742: Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Use the slope formula



where and are the coordinates of the given points P and Q.

Then do it again for points R and S.

If the slope of the line through P and Q is the negative reciprocal of the slope of the line through R and S, then the lines are perpendicular. Otherwise, not.


John

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