Question

The "perpendicular bisector" of the line segment $\overline{AB}$ is the line that passes through the midpoint of $\overline{AB}$ and is perpendicular to $\overline{AB}$.

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 1

find the slope and midpoint of the segment

the bisector passes through the midpoint

the slope of the bisector (perpendicular) is the negative reciprocal of the slope of the segment

Answer 2

Thanks for the help!

Answer 3

Also how do you find slope?

Answer 4

When it has the latex do you mean the line is over the AB?

Answer 5

Yes, I do.

Answer 6

slope: 2nd y-1st y/2nd x-1st x

Answer 7

Slope= y2-y1/x2-x1