A line in point slope form is y = mx + b
m = the slope
b = y-intercept
So far our line looks like: y = -3/5x + b
Let's plug -5 into x and -3 into y to solve for b
-3 = -3/5(-5) + b
Let's multiply -5 by -3/5
-3 = 3 + b
Subtract 3 from both sides.
-6 = b
Our line is: y = -3/5x - 6