### Home > PC > Chapter 7 > Lesson 7.3.2 > Problem7-114

7-114.

Let $A = \left(0, −3\right)$ and $B = \left(2, 5\right)$.

1. Find the distance from $A$ to $B$.

Make a sketch of the points and use the Pythagorean Theorem to find the distance between the points.

2. Write the equation of the perpendicular bisector for $\overline{A B}$ in point-slope form.

You need a point (midpoint) and the slope of the perpendicular line so that you can use the point-slope form of a line.

Find the midpoint by:

Perpendicular slope would be negative the reciprocal of the slope between $A$ and $B$.