Write the equation for the perpendicular bisector of the given line segment.
a
b)
4.3x+ /
= 3x }

Step-by-step explanation:

Let

A(-5,5),B(-2,-4) ----> the given segment

step 1

Find the slope AB

The formula to calculate the slope between two points is equal to

substitute the given values

step 2

we know that      

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

the slope of the perpendicular bisector is equal to

we have

substitute

step 3

Find the midpoint segment AB

A(-5,5),B(-2,-4)

The formula to calculate the midpoint between two points is equal to

substitute the values

step 4

Find the equation of the line in point slope form

we have

substitute

step 5

Convert to slope intercept form

isolate the variable y

simplify

see the attached figure to better understand the problem

its the fourth option

step-by-step explanation: