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

1. What is the slope of $\overleftrightarrow { L D }$?

   Hint (a):

   Draw a slope triangle.

2. What is $LD$ (the distance from $L$ to $D$)?

   Hint (b):

   Use the Pythagorean Theorem.

   Answer (b):

   $\sqrt{61} \approx 7.81\text{ units}$

3. Determine the coordinates of a point $M$ on line $\overleftrightarrow { L D }$ that is twice as far from point $L$ as it is from point $D$.

   Hint (c):

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

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