Find the midpoint pq. then write an equation of the line that passes through the midpoint and is perpendicular to pq

p(-4,3), q(4,-1)

Step-by-step explanation:

Midpoint = (x₁+x₂/2, y₁+y₂/2)

               =(-4+4/2, 3-1/2)

               = (0/2 , 2/2) =  (0, 1)

Slope of PQ = y₂-y₁/x₂-x₁

                    = -1-3/4-[-4]

                   m₁ = -4/ 4+4 = -4/8 = -1/2

The required line is perpendicular to PQ

so slope of the required line be m₂

m₁*m₂ = -1

-1/2*m₂ = -1

       m₂ = -1 *2/-1 = 2

Slope m₂= 2 and it passes through midpoint (0, 1)

y - y₁ = m (x -x₁)

y - 1  = 2 *(x - 0)

    y -1 = 2x

         y = 2x + 1

x=half

step-by-step explanation:

step-by-step explanation: