1. **State the problem:** Find the equation of line D in the form $y = mx + c$ given it crosses the y-axis at 2 and passes through points approximately $(1, 3.5)$ and $(4, 8)$. 2. **Recall the formula:** The equation of a line is $y = mx + c$ where $m$ is the slope and $c$ is the y-intercept. 3. **Identify the y-intercept:** From the problem, $c = 2$ because the line crosses the y-axis at 2. 4. **Calculate the slope $m$:** Use the formula for slope between two points $(x_1, y_1)$ and $(x_2, y_2)$: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Substitute the points $(1, 3.5)$ and $(4, 8)$: $$m = \frac{8 - 3.5}{4 - 1} = \frac{4.5}{3}$$ 5. **Simplify the slope:** $$m = \frac{\cancel{4.5}}{\cancel{3}} = 1.5$$ 6. **Write the equation:** Substitute $m = 1.5$ and $c = 2$ into $y = mx + c$: $$y = 1.5x + 2$$ **Final answer:** $$y = 1.5x + 2$$