Answer:
So, KM and ST are perpendicular lines
Step-by-step explanation:
Find the slope of KM and ST.
K (-3, -7), M(3, -3)
Slope of KM = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-[-7]}{3-[-3]}\\\\= \frac{-3+7}{3+3}\\\\ = \frac{4}{6}\\\\= \frac{2}{3}[/tex]
S(0 , 4) & T(6 , -5)
Slope of ST = [tex]\frac{-5-4}{6-0}[/tex]
[tex]=\frac{-9}{6}\\\\=\frac{-3}{2}[/tex]
Slope of KM * slope of ST = [tex]\frac{2}{3} * \frac{-3}{2}[/tex]
= -1
So, KM and ST are perpendicular lines
