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use the two points to find the slope of this line. \\ m = - \\frac{?}{\…

Question

use the two points to find the slope of this line.

\\ m = - \frac{?}{\box} \\

remember: slope = \frac{rise}{run}

Explanation:

Identify the coordinates of the two points

$$ (x_1, y_1) = (0, -2) $$
$$ (x_2, y_2) = (1, -4) $$

Calculate the rise and run

$$ \text{rise} = y_2 - y_1 = -4 - (-2) = -2 $$
$$ \text{run} = x_2 - x_1 = 1 - 0 = 1 $$

Compute the slope

$$ m = \frac{\text{rise}}{\text{run}} = \frac{-2}{1} = -2 = -\frac{2}{1} $$

Answer:

Use the two points to find the slope of this line.

\(m = -\) <blank>\(\frac{2}{1}\)</blank>