The slope intercept form of the equation is y = -3/5x - 6
To solve this, we are going to use point slope form, which is listed below.
(y - y1) = m(x - x1)
In this equation, m is the slope and (x1, y1) is the point. If you plug in and solve for y, you get the slope intercept form.
(y - y1) = m(x - x1)
(y - -3) = -3/5(x - -5)
y + 3 = -3/5(x + 5)
y + 3 = -3/5x - 3
y = -3/5x - 6