Question

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-7,8) and (-1,4).

Answer 1

Answer:

y = +3/2x + 12

Step-by-step explanation:

get slope

get midpoint

get b

1.

(-7,8) and (-1,4)

get slope

(y₂ - y₁) / (x₂ - x₁)

slope is -2/3

perpendicular slope is the negative reciprocal :

+3/2

y=mx + b

y=+3/2x + b

get midpoint :

(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,6)

get b

y=mx + b

6=+3/2(-4) + b

6= -6+ b

b = 12

y = +3/2x + 12