On graph paper, graph line $\overleftrightarrow{LD}$ if $L(-2,1)$ and $D(4,-4)$.  

1. Find the slope of $\overleftrightarrow{LD}$.

   Hint (a):

   Draw a slope triangle.

2. Find $LD$ (the distance from $L$ to $D$).

   Hint (b):

   Use the Pythagorean Theorem.

   Answer (b):

   $\sqrt{61}\approx7.81\ \text{units}$

3. Describe how you might determine the lengths of the sides of the slope triangle without using graph paper.

   Hint (c):

   Find the difference between the $x$-coordinates of $L$ and $D$.