Mathematics: Determine whether KM and ST are parallel, perpendicular, or neither. K (-3, -7), M(3, -3), S(0, 4), T(6, -5)

Determine whether KM and ST are parallel, perpendicular,

hjoe523

11.02.2022

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 = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{-3-[-7]}{3-[-3]}\\\\= \frac{-3+7}{3+3}\\\\ = \frac{4}{6}\\\\= \frac{2}{3}$

S(0 , 4) & T(6 , -5)

Slope of ST = $\frac{-5-4}{6-0}$

$=\frac{-9}{6}\\\\=\frac{-3}{2}$

Slope of KM * slope of ST = $\frac{2}{3} * \frac{-3}{2}$

= -1

So, KM and ST are perpendicular lines

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