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1-137.
1. 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.

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

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

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