Question

Is the line through points P(7, 6) and Q(9, 11) perpendicular to the line through points R(5, 9) and S(7, 4)? Explain.

Answer 1

Explanation:

`slope~of~line~PQ=(11-6)/(9-7)=(5)/(2)\\slope~of~line~RS,~m2=(4-9)/(7-5)=-(5)/(2) \\m1 * m2=(5)/(2) * -(5)/(2) =-(25)/(4) \\eq -1`

so lines are not perpendicular.