Answer:
No
Step-by-step explanation:
1. Solve the equation for y.
-x + 4y = -5
4y = x + 5
y = (x + 5)/4
2. Check for direct variation
The formula for direct variation is
y = kx,
where
k = the constant of variation
An important consequence is that y = 0 when x = 0.
Set x = 0 for your function and calculate y.
y = (x + 5)/4 = (0 + 5)/4 = 5/4 ≠ 0
The function does not represent a direct variation.