Find the slope and the \( y \)-intercept of the line. \( f(x)=\frac{3}{8} x \)

The slope of the line \( f(x) = \frac{3}{8} x \) is \( \frac{3}{8} \). This means for every 8 units you move horizontally, the line rises 3 units vertically. The \( y \)-intercept, which is where the line crosses the \( y \)-axis, is at the point (0,0) since there is no constant term added to the equation. So, the line passes through the origin! Understanding slope and intercept is crucial in real life, too! For example, if you're plotting the growth of a plant over time where the slope represents the growth rate, and the \( y \)-intercept indicates the height of the plant at the start, you can easily predict its future height simply by plugging in values for \( x \). It’s a handy tool for gardeners and scientists alike!