Answer
$y + 6 = \frac{2}{3}(x + 2)$
Work Step by Step
We are given the point $(-2, -6)$ and the slope $m = \frac{2}{3}$.
We can 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:
$y - (-6) = \frac{2}{3}(x - (-2))$
Let us simplify the signs:
$y + 6 = \frac{2}{3}(x + 2)$
This is the equation of the line in point-slope form.
