The given line segment has a midpoint at (−1, −2).

i'll pick a brainliest !
what is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

a. y = −4x − 4
b. y = −4x − 6
c. y = x – 4
d. y = x – 6

Step 1

Find the slope of the given line

Let

we know that

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

substitute the values

Step 2

Find the slope of the perpendicular bisector

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

In this problem

-----> slope of the given line

Find m2

substitute

Step 3

Find the equation of the perpendicular bisector

we have

point

The equation of the line into slope-intercept form is equal to

substitute the values and find the value of b

the equation of the line is

therefore

the answer is the option B

see the attached figure to better understand the problem

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