Final answer:
The line y = -2/5x + 3 has a negative slope.
Step-by-step explanation:
The line y = -2/5x + 3 has a negative slope. The slope of a line represents how steep or gradual the line is. In this case, the line has a negative slope because the coefficient of x is negative (-2/5). This means that for every increase of 1 on the horizontal axis, the line decreases by -2/5 units on the vertical axis. The slope remains the same along the entire line.
Additionally, negative slopes indicate a descending trend, suggesting that as x increases, y consistently decreases. The magnitude of the slope, 2/5, indicates the rate of this descent, emphasizing the steeper decline compared to a slope with a smaller absolute value.