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

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

   Hint (a):

   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.

   Hint 1(b):

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

   Step (b):

   Find the midpoint by:

   Hint 2(b):

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