Final answer:
The equation y = -5x + 1/8 represents a nonproportional linear relationship with a negative slope, indicating it is neither directly nor inversely proportional.
Step-by-step explanation:
The equation y = -5x + 1/8 represents a linear relationship between y and x. A linear relationship is one that produces a straight line when graphed.
The equation given is not of the form y = kx, which would indicate direct proportionality, nor is it of the form y = k/x, which would indicate inverse proportionality.
Instead, it is a straight line with a negative slope and a y-intercept of 1/8, indicating that it is nonproportional.
Linear relationships such as this have a constant rate of change, but since the line does not pass through the origin (0; 0), it is not directly proportional.