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

Question

Find answer

Answer 1

midpoint of the two given points is (2,-3)

just take the average of the x coordinates

and the average of the y coordinates

the two points have slope = (1+7)/(-4-8) = 8/-12 =-2/3

perpendicular line has the negative inverse slope = 3/2

take -2/3, change its sign and flip it upside down

through that mid point the equation is

y+3 = (3/2)(x-2) in point slope form

or

y = 3x/2 -6 in slope intercept form

or

3x-2y = 12 in standard form