Explanation
The question wants us to determine if point S lies on the perpendicular bisector of QR
To answer the question
We will find the midpoint of the line QR
The perpendicular bisector, which is the midpoint of the line QR will be
Q(-5,4) and R(8,-3)
[tex]\begin{gathered} \text{Midpoint of QR=}\frac{x_2+x_1}{2},\frac{y_2+y_1}{2} \\ \text{Midpoint}=\frac{-5+8}{2},\frac{4-3}{2} \\ \text{Midpoint}=\frac{3}{2},\frac{1}{2} \\ \text{Midpoint}=1.5,0.5 \end{gathered}[/tex]
Midpoint QR is (1.5, 0.5)
The point S is (-2,-5)
We can observe that the coordinates of QR and S aren't the same, thus, point S doesn't lie on the perpendicular bisector
