Question

use point-slope form to write the equation of a line that passes through the point $(-19, -8)$ with slope $-4$.

Explanation:

Step1: Recall point-slope formula

The point-slope form of a line is $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope.

Step2: Substitute given values

Here, $x_1 = -19$, $y_1 = -8$, and $m = -4$. Substitute these into the formula:
$y - (-8) = -4(x - (-19))$

Step3: Simplify the equation

Simplify the double negatives:
$y + 8 = -4(x + 19)$

Answer:

$y + 8 = -4(x + 19)$