On graph paper, plot $A(2,2)$ and $B(14,10)$.  

1. If $C$ is the midpoint of $AB,D$ is the midpoint of $AC$, and $E$ is the midpoint of $CD$, what are the coordinates of $E$?

   Hint (a):

   When finding the midpoint remember to calculate the average of the $x$-coordinates and the average of the $y$-coordinates for the two points.

2. What fraction of the distance from $A$ to $B$ is $E$? How do you know?

   Hint (b):

   Draw a slope triangle for $AB$ and a slope triangle for $AE$, then compare their side lengths.

3. Use the ratio from part (b) to determine the coordinates of point $E$.