Question

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 1

• No, the lines are not perpendicular

Explanation:

Perpendicular lines have opposite-reciprocal slopes.

It means the product of the slopes is - 1.

Let's find the slopes of the two lines and their product.

• m(PQ) = (- 12 - (-10)) / (- 5 - (-8)) = - 2/3
• m(RS) = (- 5 - (-6)) / (17 - 9) = 1/8

Find the product of slopes:

• - 2/3*1/8 =
• - 1/12

This is not - 1, therefore the lines are NOT perpendicular.