Answer
$y + 1 = \frac{1}{2}(x + 3)$
Work Step by Step
We are given the points $(-1, 0)$ and $(-3, -1)$.
Let's use the formula to find the slope $m$ given two points:
$m = \frac{y_2 - y_1}{x_2 - x_1}$,
where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.
Let's plug in these values into this formula:
$m = \frac{-1 - 0}{-3 - (-1)}$
Subtract the numerator and denominator to simplify:
$m = \frac{-1}{-2}$
Divide the numerator and denominator by their greatest common denominator, which is $-1$:
$m = \frac{1}{2}$
Now that we have the slope, we can use one of the points and plug these values into the point-slope equation, which is given by the formula:
$y - y_1 = m(x - x_1)$,
where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
Let's plug in the points and slope into the formula:
$y + 1 = \frac{1}{2}(x + 3)$
This equation is now in point-slope form.
