Question

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

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is given by $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope of the line. If we rewrite the given equation $y + 2=3(x + 3)$ in the form $y-(-2)=3(x-(-3))$, we can compare it with the point - slope form.

Step2: Identify the point and slope

By comparing $y-(-2)=3(x-(-3))$ with $y - y_1=m(x - x_1)$, we can see that $x_1=-3$, $y_1=-2$ and $m = 3$. So a point on the line is $(-3,-2)$ and the slope of the line is $3$.

Answer:

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