Question

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -7) and (9, 1).

Answer 1

y = -5/4 x + 2

Explanation:

the slope of line segment : (1+7) /(9+1) = 8/10

= 4/5

the mid point of line segment :

x = (-1+9)/2= 4

y= (-7+1)/2 = -3

the coordinate : (4, -3)

the slope of line perpendicular to line segment

= -1 ÷ 4/5 = -5/4

so the equation :

y+3= -5/4 (x-4)

y+3= -5/4 x +5

y = -5/4 x + 2