1. **State the problem:** We are given data points showing miles driven ($x$) and gallons of gasoline remaining in the tank ($y$). We need to find the slope and y-intercept of the line passing through these points. 2. **Recall the formula for slope:** The slope $m$ of a line through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ The y-intercept $b$ is the value of $y$ when $x=0$. 3. **Choose two points from the table:** Using $(0,15)$ and $(10,14.6)$, $$m=\frac{14.6 - 15}{10 - 0} = \frac{-0.4}{10} = -0.04$$ 4. **Find the y-intercept:** From the point $(0,15)$, the y-intercept is clearly $b=15$. 5. **Interpret the slope:** The slope $-0.04$ can be written as $-\frac{1}{25}$ because $-0.04 = -\frac{4}{100} = -\frac{1}{25}$. 6. **Conclusion:** The slope is $-\frac{1}{25}$ and the y-intercept is $15$. **Final answer:** Slope = $-\frac{1}{25}$, y-intercept = $15$. This corresponds to option b.