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, because when the lines intersect they should intersect at 90 degree angles. They do not.

Answer 2

\[\tan \theta=\frac{m_1-m_2}{1+m_1m_2}\]
\[m=\frac{y_2-y_1}{x_2-x_1}\]
\[m_1=\frac{-5-(-6)}{17-9}=1/8\]
\[m_2=\frac{-12-(-10)}{-5-(-8)}=-2/3\]
\[\tan \theta=\frac{-2/3-1/8}{1+(-2/3)*1/8)}=19/22\]
\[\theta=\tan^{-1} (19/22)\]
\[\theta=40.8\]

Answer 3

talk about taking it further than necessary