what is the equation of the line that passes through the point (-3, -1) and has a slope of 2?

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.

Step2: Substitute values

Given $(x_1,y_1)=(-3,-1)$ and $m = 2$. Substitute into the point - slope form: $y-(-1)=2(x - (-3))$.

Step3: Simplify the equation

$y + 1=2(x + 3)$. Expand the right - hand side: $y+1 = 2x+6$. Then, solve for $y$: $y=2x + 5$.

Answer:

$y = 2x+5$