Final answer:
The slope of the line y = \(\frac{2}{5}\)x + 10 is \(\frac{2}{5}\), and the y-intercept is 10.
Step-by-step explanation:
To determine the slope and y-intercept of the line represented by the equation y = \(\frac{2}{5}\)x + 10, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this form, the coefficient m represents the slope, and the constant b represents the y-intercept. In our equation, the slope is \(\frac{2}{5}\), which indicates that for every increase of 1 on the horizontal axis (x-axis), there is a rise of \(\frac{2}{5}\) on the vertical axis (y-axis). The y-intercept is 10, which means that the point where the line intersects the y-axis is at (0, 10).