Your answer would be C. y = (3/4)x - 31/4
We can find this first by using the slope we are given to write the equation y = (3/4)x + c. Then, we can substitute in the coordinates and solve:
-4 = (3/4 × 5) + c
-4 = 15/4 + c
- 15/4
-4 - 15/4 = c
To do this subtraction, we must first write -4 as -4/1, and then get it over 4 by multiplying by 4, so we get the fraction -16/4.
Then we can do -16/4 - 15/4 = -31/4, which is your y-intercept.
This makes the final answer y = (3/4)x - 31/4.
I hope this helps!