Question

find the lines slope and a point on the line.
y - 3 = -3(x + 2)

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: Match given equation to form

Compare $y - 3 = -3(x + 2)$ to $y - y_1 = m(x - x_1)$. Rewrite $x+2$ as $x - (-2)$, so $m=-3$, $x_1=-2$, $y_1=3$.

Answer:

slope: $-3$
point on the line: $(-2, 3)$