1. **State the problem:** You want to graph the linear equation $y = 8x + 86$ which represents the number of alabers $y$ after $x$ hours. 2. **Identify key features of the graph:** - The y-intercept is 86, meaning the graph crosses the y-axis at $(0, 86)$. - The slope is 8, meaning for every 1 hour increase in $x$, $y$ increases by 8 alabers. 3. **Plot the y-intercept:** Start by plotting the point $(0, 86)$ on the graph. 4. **Use the slope to find another point:** From $(0, 86)$, move 1 unit right (increase $x$ by 1) and 8 units up (increase $y$ by 8) to reach the point $(1, 94)$. 5. **Draw the line:** Connect these points with a straight line extending in both directions. 6. **Check intercepts and extrema:** - The y-intercept is at $(0, 86)$. - The x-intercept is found by setting $y=0$: $0 = 8x + 86 \Rightarrow 8x = -86 \Rightarrow x = -\frac{86}{8} = -10.75$. - There are no extrema since this is a linear function. This graph shows how the alabers increase over time starting from 86 alabers.