The midpoint is (blank, blank)

The equation of the perpendicular bisector is y=(blank)

What are the answers? And please show all your work on how you got the answers

The answer to your question is Midpoint = (0, 1)

                                                    Equation of the bisector    y = 2x + 1

Step-by-step explanation:

Data

P (-4, 3)

Q (4, -1)

Process

1.- Find the midpoint

Xm = (-4 + 4)/2

Xm = 0/2

Xm = 0

Ym = (3 - 1)/2

Ym = 2/2

Ym = 1

Midpoint = (0, 1)

2.- Equation of the line

slope = (-1 - 3) / (4 + 4)

          = -4/8

          = -1/2

But the new line is perpendicular so the new slope is

       m = 2

Equation of the new line

        y - y1 = m(x - x1)

        y - 1 = 2(x - 0)

        y - 1 = 2x

        y = 2x + 1

whats the

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!