find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)

Step-by-step explanation:

Step 1: Perpendicular bisector

To find the perpendicular bisector of the segment, apply the midpoint formula:

Points: {(-8, -5, (-4, 1)}

x₁ = -8      first x value

x₂ = -4     second x value

y₁ = -5     first y value

y₂ = 1      second y value

Plug the points into the formula:

Solve:

The midpoint is (-6, -2).

Step 2: Slope

To find the slope (m), apply the formula:

(point location is the same as previous step)

Plug the points into the formula; then solve:

The slope is 3/2

Step 3: Solving for b

Therefore, the equation is

b

step-by-step explanation: