SOLUTION: The "perpendicular bisector" of the line segment AB is the line that passes through the midpoint of AB and is perpendicular to AB. The equation of the perpendicular bisector of

Algebra ->  Graphs -> SOLUTION: The "perpendicular bisector" of the line segment AB is the line that passes through the midpoint of AB and is perpendicular to AB. The equation of the perpendicular bisector of       Log On


   



Question 1069449: The "perpendicular bisector" of the line segment AB is the line that passes through the midpoint of AB and is perpendicular to AB.
The equation of the perpendicular bisector of the line segment joining the points (1,2) and (-5,12) is y = mx + b. Find m+b.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope,
m=%2812-2%29%2F%28-5-1%29=10%2F-6=-5%2F3
So then using the point-slope form,
y-2=-%285%2F3%29%28x-1%29
y-2=-%285%2F3%29x%2B5%2F3
y=-%285%2F3%29x%2B5%2F3%2B6%2F3
y=-%285%2F3%29x%2B11%2F3
So,
b=11%2F3
I'll leave the addition to you.