Answer
$$y =-5x-7$$
Work Step by Step
Recall the point-slope form of an equation:
$$y - y_{1} = m(x - x_{1})$$
$m$ is the line’s slope and $(x_{1}, y_{1})$ is a fixed point on the line.
Given:
$m=-5$
point $(-2,3)$
Substituting this to the point-slope form:
$$y - y_{1} = m(x - x_{1})$$ $$y - 3 = -5(x - (-2))$$ $$y - 3 = -5(x +2)$$ $$y - 3 = -5x -10$$
Add $3$ to both sides:
$$y - 3+3 = -5x -10+3$$ $$y =-5x-7$$