Question

find an equation for the perpendicular bisector of the line segment whose endpoints are (-7, 1) and (-1,-3)

Answer 1

2y + x = -5

Explanation:

The standard form of the equation is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the coordinate points (-7, 1) and (-1,-3)

m = y2-y1/x2-x1

m = -3-1/1+7

m = -4/8

m = -1/2

Get the intercept

y = mx+c

1 = -1/2(-7) + c

1 = 7/2 + c

c = 1-7/2

c = -5/2

Get the equation

y = mx+c

y = -1/2 x - 5/2

2y = -x - 5

2y + x = -5

Hence the required equation is 2y + x = -5