Explanation:
the slope is always the factor of x.
in slope intercept form, as well as here in point slope form.
the important thing is that the y term is just brought to a simple positive y form (and not cy with c is different than 1).
and then, what you see on the other side as factor is x is the slope.
here : -7
the other numbers in the equating are irrelevant for the slope. they determine the "offset" of the line from (0, 0).