Question

find a point on the line and the lines slope.
y + 1 = -3(x + 2)
point on the line: (□,□)
slope: □

Explanation:

Step1: Recall point - slope form

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 of the line.
We can rewrite the given equation $y + 1=-3(x + 2)$ in the form $y-(-1)=-3(x-(-2))$.

Step2: Identify the point and slope

By comparing $y-(-1)=-3(x-(-2))$ with the point - slope form $y - y_1=m(x - x_1)$, we can see that $x_1=-2$, $y_1=-1$ and $m = - 3$.
So a point on the line is $(-2,-1)$ and the slope of the line is $-3$.

Answer:

point on the line: $(-2,-1)$; slope: $-3$