The equation of the perpendicular bisector of the line segment joining the points (-3,8) and (-5,4) is y=mx+b. Find m+b.
The slope between the points is
[ 8 - 4 ] / [ -3 - -5 ] = 4 / 2 = 2
So...the slope of a perpendicular line = -1/2
The perpendicular bisector will pass through the midpoint of (-3,8) and ( -5, 4)
So this point is [ ( -3 -5)/2 , (8 + 4)/2 ] = ( -4, 6 )
So the equation of the perpendicular bisector is
y = (-1/2) ( x - -4) + 6
y = (-1/2) ( x + 4) + 6
y = (-1/2)x - 2 + 6
y = (-1/2)x + 4