1. **State the problem:** We are given the function $f(x) = \frac{3}{4}x + 10$ and want to understand its properties. 2. **Formula and explanation:** This is a linear function of the form $f(x) = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and intercept:** Here, $m = \frac{3}{4}$ and $b = 10$. 4. **Interpretation:** The slope $\frac{3}{4}$ means for every increase of 1 in $x$, $f(x)$ increases by $\frac{3}{4}$. 5. **Find x-intercept:** Set $f(x) = 0$ and solve for $x$: $$0 = \frac{3}{4}x + 10$$ $$\frac{3}{4}x = -10$$ $$x = -10 \times \frac{4}{3} = -\frac{40}{3}$$ 6. **Summary:** The function crosses the y-axis at 10 and the x-axis at $-\frac{40}{3}$. Final answer: The function is $f(x) = \frac{3}{4}x + 10$ with slope $\frac{3}{4}$, y-intercept 10, and x-intercept $-\frac{40}{3}$.