1. **State the problem:** We have a linear function A with given points and three other linear functions. We need to find the slope of function A and then sort the other functions by their slopes relative to function A's slope. 2. **Find the slope of function A:** The slope formula is $$m=\frac{y_2 - y_1}{x_2 - x_1}$$. Using points $(-2,-20)$ and $(1,7)$: $$m_A=\frac{7 - (-20)}{1 - (-2)}=\frac{7 + 20}{1 + 2}=\frac{27}{3}=9$$ Check with points $(1,7)$ and $(2,16)$: $$m_A=\frac{16 - 7}{2 - 1}=\frac{9}{1}=9$$ So slope of function A is $9$. 3. **Find slopes of other functions:** - For $6 + y = 9x$, rewrite as $y = 9x - 6$, slope $m=9$. - For $y = \frac{33}{10}x$, slope $m=\frac{33}{10}=3.3$. - For $y = 13x - \frac{4}{3}$, slope $m=13$. 4. **Sort by slope relative to function A's slope (9):** - Slope less than 9: $3.3$ - Slope equal to 9: $9$ - Slope greater than 9: $13$ **Final answer:** - Slope less than Function A's: $y=\frac{33}{10}x$ - Slope equal to Function A's: $6 + y = 9x$ - Slope greater than Function A's: $y=13x - \frac{4}{3}$