Answer:
y= -6/5x - 11
Explanation:
I would use point-slope form first, because you are given a point and a slope.
(y2 - y1) = m(x2 - x1)
(this is the point-slope form equation, where you take the first (x, y) point and subtract it by x and y)
(y - (-5)) = (-6/5)(x - 5)
(I plugged the point (5, -5) into the first point, shown by (x1, y1) )
y + 5 = -6/5x - 6
(I distributed through the parenthesis)
y = -6/5x - 11
(subtract 5 from both sides)