Write the equation of the perpendicular bisector of the segment formed by:
(-4, 3) and (8, -3)

The equation of perpendicular bisector is:

Step-by-step explanation:

Given the points

First, we need to find the midpoint of the points (-4, 3) and (8, -3)

Thus, the midpoint of the points is: (2, 0)

Now, finding the slope between (-4, 3) and (8, -3)

Therefore, the slope m = -1/2

The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2

Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:

where m is the slope of the line

substituting the slope 2 and the point (2, 0)

Therefore, the equation of perpendicular bisector is:

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct