Answer:
slope of ST = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
calculate the slope of PT using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (2, 2 ) and (x₂, y₂ ) = T (- 1, - 4 )
[tex]m_{PT}[/tex] = [tex]\frac{-4-2}{-1-2}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{ST}[/tex] = - [tex]\frac{1}{m_{PT} }[/tex] = - [tex]\frac{1}{2}[/tex]
