### Home > INT2 > Chapter 5 > Lesson 5.2.3 > Problem5-93

5-93.

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

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

Draw a slope triangle.

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

Use the Pythagorean Theorem.

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

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 $D$.

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.

Use the eTool below to complete the graph of the line.
Click the link at right for the full version of the eTool: INT2 5-93 HW eTool