I need to find E(-4,-6) and F(-2,4) and i need to find the point slope equation of the perpendicular bisector

Answer 1

Mid point M of EF: M((- 4 - 2)/2, (- 6 + 4)/2) = M(-3, -1);

Slope m₁ of EF:P m₁ = (4 + 6)/(-2 + 4) = 5;

So, slope m of perpendicular bysector is m = - 1/5.

Equation of perpendicular bisector y = -1 - 1/5(x + 3); y = -1/5x - 8/5

Answer 2

The slope is (4 - -6)/(-2 - -4) = (4 + 6)/(-2 + 4) = 10/2 = 5

The midpoint is [(-4 + -2)/2 , (-6 +4)/2] = (-3, -1)

THe perpendicular has slope -1/5 and eats (-3,-1)

y - -1 = (-1/5) ( x - -3)

y + 1 = (-1/5)(x+3)