Question

find the lines slope and a point on the line. select \undefined\ if applicable.
$y - 1 = 5(x + 4)$
slope:
point on the line: ( , )

Explanation:

Step1: Recall point-slope form

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

Step2: Identify the slope

Compare $y - 1 = 5(x + 4)$ to $y - y_1 = m(x - x_1)$. Here, $m = 5$.

Step3: Rewrite for the point

Rewrite $x + 4$ as $x - (-4)$. Now match to the form: $x_1 = -4$, $y_1 = 1$, so the point is $(-4, 1)$.

Answer:

slope: $5$
point on the line: $(-4, 1)$