Remark
So far what you know is that
y = mx - 2
Now all you need do is use the point to solve for m
y = - 4
x = 5 Substitute
- 4 = m(5) - 2 Add 2 to both sides
-4 + 2 = 5m - 2 + 2
- 2 = 5m Divide both sides by 5
-2 / 5 = 5/5 m
- 0.4 = m
Answer: y = - 0.4x - 2 or
Answer: y = - (2/5)x - 2