On graph paper, plot the points $A(-5,7)$ and $B(3,1)$.  

1. Find $AB$ (the length of $\overline{AB}$).

   Hint (a):

   Use the Pythagorean Theorem to find the length of $\overline{AB}$.

2. Locate the midpoint of $\overline{AB}$ and label it $C$. What are the coordinates of $C$?

   Hint (b):

   Use two congruent slope triangles to find the midpoint.

3. Find $AC$. Can you do this without using the Pythagorean Theorem?

   Hint (c):

   Because C is the midpoint, what does that tell you about the length of $AC$?