Answer :
First find midpoint: [tex]\left( \frac{-1+5}{2}, \frac{6+5}{2}\right) = (2, 5.5)[/tex]
Find slope of line that passes through R and S: slope = [tex] \frac{6-5}{-1-5} = \frac{-1}{6}[/tex]
Negative reciprocal of slope to get slope of perpendicular: new slope = 6
Line will be: [tex] y-5.5=6(x-2)[/tex]
[tex] y = 6x - 6.5[/tex]
Find slope of line that passes through R and S: slope = [tex] \frac{6-5}{-1-5} = \frac{-1}{6}[/tex]
Negative reciprocal of slope to get slope of perpendicular: new slope = 6
Line will be: [tex] y-5.5=6(x-2)[/tex]
[tex] y = 6x - 6.5[/tex]