Answer :
Answer:
[tex]y=(-\frac{5}{4})x-16.25[/tex]
Step-by-step explanation:
From the question we are told that:
Points of perpendicular bisector
(9,5),(−1,−3).
Generally the equation for slope is mathematically given by
[tex]S=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]S=\frac{-3-5}{-1-9}[/tex]
[tex]S=0.8[/tex]
[tex]S=\frac{4}{5}[/tex]
Therefore
Perpendicular lines of slope
[tex]M=-\frac{5}{4}[/tex]
Generally the equation for perpendicular bisector Line is mathematically given by
[tex]y-5=3(x-9)[/tex]
[tex]y=(-\frac{5}{4})x-11.25+5[/tex]
[tex]y=(-\frac{5}{4})x-16.25[/tex]