Answer:
y = [tex]-\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
( - 2 , - 8 )
( 6 , 8 )
Midpoint of the line segment is ( [tex]\frac{-2+6}{2}[/tex] , [tex]\frac{-8+8}{2}[/tex] ) = ( 2 , 0 )
Slope of segment m = [tex]\frac{-8-8}{-2-6}[/tex] = 2
Slope of perpendicular line to the segment is [tex]-\frac{1}{2}[/tex]
An equation for the perpendicular bisector of the line segment is
y - 0 = [tex]-\frac{1}{2}[/tex] ( x - 2 )
y = [tex]-\frac{1}{2}[/tex] x + 1
