1. **State the problem:** We are given the linear equation $$y = \frac{3}{4}x - 7$$ and want to understand its properties. 2. **Formula and rules:** This is a linear function in slope-intercept form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify slope and intercept:** Here, the slope $$m = \frac{3}{4}$$ and the y-intercept $$b = -7$$. 4. **Interpret slope:** The slope $$\frac{3}{4}$$ means for every increase of 4 units in $$x$$, $$y$$ increases by 3 units. 5. **Find x-intercept:** Set $$y=0$$ and solve for $$x$$: $$0 = \frac{3}{4}x - 7$$ $$7 = \frac{3}{4}x$$ $$x = \frac{7}{\frac{3}{4}} = 7 \times \frac{4}{3} = \frac{28}{3}$$ 6. **Summary:** The line crosses the y-axis at $$-7$$ and the x-axis at $$\frac{28}{3}$$. **Final answer:** The equation represents a line with slope $$\frac{3}{4}$$, y-intercept $$-7$$, and x-intercept $$\frac{28}{3}$$.