1. **State the problem:** We are given three points representing the cost of owning a car based on kilometers driven: (200, 72), (700, 152), and (1000, 200). The relationship is linear, and we need to find the y-intercept of this line. 2. **Formula and rules:** The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Calculate the slope $m$:** Using points (200, 72) and (700, 152), $$m = \frac{152 - 72}{700 - 200} = \frac{80}{500} = 0.16$$ 4. **Find the y-intercept $b$:** Use point (200, 72) and slope $m=0.16$ in $y = mx + b$: $$72 = 0.16 \times 200 + b$$ $$72 = 32 + b$$ $$b = 72 - 32 = 40$$ 5. **Interpretation:** The y-intercept $b=40$ means that if no kilometers are driven, the cost is 40. 6. **Answer:** The y-intercept is 40, which corresponds to option D. Final equation of the line: $$y = 0.16x + 40$$