Write the equation of the line in fully simplified slope intercept form.

y = -1/3 x - 7

Step-by-step explanation:

First, the intercept form is in y = ax + b, where b is the intercept at y-axis which is -7, then pick any point in the line, in the case I chose (3,-8), then substitute it into the equation, -8 = 3a - 7, then solve for a, get 3a = -1, so a = -1/3 which is the slope.