Answer
$$y=-\frac{4}{7}x-4$$
Work Step by Step
We know that $y=mx+b$, where m is the slope and b is the y-intercept. We write the equation in point-slope form first and simplify until it is in slope intercept form. Using this, we find that the equation in slope intercept form is:
$$ y+4=-\frac{4}{7}(x-0) \\ y=-\frac{4}{7}x-4$$