### Home > PC > Chapter 1 > Lesson 1.4.1 > Problem1-137

1-137.

Given the points $\left(−2, −6\right)$ and $\left(−4, 2\right)$.

1. Find the length of the segment determined by the points.

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

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

2. Write the equation of the line through the points in any form.

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