1. **State the problem:** We are comparing the slopes of two linear functions, Function A and Function B. 2. **Given information:** - Function A is a line passing through points approximately (-0.5, -10) and (2, 10). - Function B is given by the equation $y = 5x$, so its slope is 5. 3. **Formula for slope:** The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $$ m = \frac{y_2 - y_1}{x_2 - x_1} $$ 4. **Calculate slope of Function A:** Using points $(-0.5, -10)$ and $(2, 10)$: $$ m = \frac{10 - (-10)}{2 - (-0.5)} = \frac{10 + 10}{2 + 0.5} = \frac{20}{2.5} $$ 5. **Simplify the fraction:** $$ m = \frac{20}{2.5} = \frac{20 \times 2}{2.5 \times 2} = \frac{40}{5} = 8 $$ 6. **Compare slopes:** - Slope of Function A is 8. - Slope of Function B is 5. Since $8 > 5$, the slope of Function A is greater than the slope of Function B. **Final answer:** The slope of Function A is greater than the slope of Function B.