Question

write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)

Answer 1

$m = \frac{y_{2} - y_{1}}{c_{2} - x_{1}} = \frac{-5 - 1}{7 - (-1)} = \frac{-6}{7 + 1} = \frac{-6}{8} = \frac{-3}{4} = -\frac{3}{4}$

y - y₁ = m(x - x₁)
 y - 1 = ⁻³/₄[x - (-1)]
 y - 1 = ⁻³/₄(x + 1)
 y - 1 = ⁻³/₄(x) - ³/₄(1)
 y - 1 = ⁻³/₄x - ³/₄
    +1          + 1
      y = ⁻³/₄x + ¹/₄