CPM Homework Help : CC3MN Problem 9-99

Use a graph to find the distance between the points $C(−4, −1)$ and $D(4, 1)$ .

Step 1:

Turn line $CD$ into a right triangle, with legs parallel to the $x$ - and $y$ -axes.

Step 2:

Use the Pythagorean Theorem to find the length of the line segment connecting the two points.

$8^{2} + 2^{2} = c^{2}\\ 64 + 4 = c^{2}\\ 68 = c^{2}\\ c = \sqrt{68} \approx 8.25$

Complete the table in the eTool below to graph the points.
Click the link at right for the full version of the eTool: 9-99 HW eTool