1. **State the problem:** We are given four functions and asked to compare their slopes and y-intercepts. 2. **Identify slopes and y-intercepts:** - Function 1: From the table points (-1, -4), (0, -3), (1, -2), (2, -1), calculate slope $m$ using two points, for example $(0,-3)$ and $(1,-2)$: $$m = \frac{-2 - (-3)}{1 - 0} = \frac{1}{1} = 1$$ Y-intercept is the value of $y$ when $x=0$, which is $-3$. - Function 2: The graph is described as a decreasing line passing through approximately $(0, -5)$ and $(1, -8)$. Calculate slope: $$m = \frac{-8 - (-5)}{1 - 0} = \frac{-3}{1} = -3$$ Y-intercept is approximately $-5$. - Function 3: Given by equation $y = 4x + 2$, slope $m=4$, y-intercept $b=2$. - Function 4: Given slope $m = -5$ and y-intercept $b=4$. 3. **Answer (a): Which functions have slopes less than 2?** - Function 1: slope $1 < 2$ (yes) - Function 2: slope $-3 < 2$ (yes) - Function 3: slope $4 > 2$ (no) - Function 4: slope $-5 < 2$ (yes) 4. **Answer (b): Which function has y-intercept closest to 0?** - Function 1: $-3$, distance from 0 is $3$ - Function 2: $-5$, distance $5$ - Function 3: $2$, distance $2$ - Function 4: $4$, distance $4$ Closest to 0 is Function 3. 5. **Answer (c): Which function has greatest y-intercept?** - Function 1: $-3$ - Function 2: $-5$ - Function 3: $2$ - Function 4: $4$ Greatest y-intercept is Function 4. **Final answers:** (a) Functions 1, 2, and 4 (b) Function 3 (c) Function 4