Question

Find an equation for the perpendicular bisector of the line segment whose endpoints are (5, -9) and (-9, -5).​

Answer 1

Answer:

y = x - 9

Step-by-step explanation:

Find the slope of the first line.

(-9 + 5)/(5 + 9)

-1

Lines perpendicular have opposite reciprocal slopes

1

Find the middle point of the first line, this is where it will intersect with the bisector.

5 + - 9/2 = 2

-5 + -9/2 = -7

(2,-7) is the midpoint

Use Point Slope Form to reduce it to Standard Form

y + 7 = 1(x - 2)

y + 7 = x - 2

y = x - 9