1. **Stating the problem:** We have four functions and need to answer questions about their slopes and y-intercepts. 2. **Given information:** - Function 1 and 2 are from the table: x: -2, -1, 0, 1, 2; y: 9, 6, 3, 0, -3. - Function 3: $y=4x+1$. - Function 4: slope $m=1$, y-intercept $b=-2$. 3. **Find slope and y-intercept for Function 1 and 2 from the table:** Using points $(-2,9)$ and $(-1,6)$: $$m=\frac{6-9}{-1+2}=\frac{-3}{1}=-3$$ Using point $(0,3)$ for y-intercept: $$b=3$$ So Function 1 or 2 has slope $-3$ and y-intercept $3$. 4. **Answer (a): Which function has the greatest y-intercept?** - Function 1 or 2: $b=3$ - Function 3: $b=1$ - Function 4: $b=-2$ Greatest y-intercept is $3$ from Function 1 or 2. 5. **Answer (b): Which functions have slopes less than 3?** - Function 1 or 2: $m=-3$ (less than 3) - Function 3: $m=4$ (not less than 3) - Function 4: $m=1$ (less than 3) Functions with slope less than 3 are Function 1 or 2 and Function 4. 6. **Answer (c): Which function has y-intercept closest to 0?** - Function 1 or 2: $3$ - Function 3: $1$ - Function 4: $-2$ Closest to 0 is $1$ from Function 3. **Final answers:** (a) Function 1 or 2 (b) Function 1 or 2 and Function 4 (c) Function 3