CPM Homework Help : PC Problem 1-137

Given the points (−2, −6) and (−4, 2). Homework Help ✎
1. Find the length of the segment determined by the points.
2. Write the equation of the line through the points in any form.

Hint:

Use the distance formula if you know it, or sketch the points, make a right triangle, and use the Pythagorean theorem.

Answer:

$\text{distance}=\sqrt{2^2 + (-8)^2}\ \ \footnotesize =\sqrt{4 + 64}\ \ \footnotesize = \sqrt{68}$

Hint:

$\text{Use:\ }m= \frac{\text{rise}}{\text{run}} \\ \ \ \ \ \ \ \ \ \ \ \footnotesize \frac{y_2 - y_1}{x_2 - x_1}$