Which equation represents the perpendicular bisector of the given line segment?
a) x = 0
b) y = 0
c) y = x
d) x = 10

Option D.

Step-by-step explanation:

step 1

Find the midpoint of the given line segment

we know that

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

we have

substitute the values

step 2

Find the equation of the perpendicular bisector

we know that

The equation of a perpendicular bisector is equal to the x-coordinate of the midpoint, because is a vertical line (parallel to the y-axis)

therefore

the equation is equal to

why can't you?

step-by-step explanation:

answer:

a=9

step-by-step explanation: lmk if you need a explanation