1. **Problem:** Which equation matches the line shown on the graph? 2. **Use the line form:** $y=mx+b$. - $m$ is the slope. - $b$ is the $y$-intercept. 3. **Read the graph values:** - The line crosses the $y$-axis at $-2$, so $b=-2$. - The line crosses the $x$-axis at $5$, so one point is $(5,0)$. - Another point is $(0,-2)$. 4. **Find the slope:** $$m=\frac{0-(-2)}{5-0}=\frac{2}{5}$$ This means the line rises $2$ units for every $5$ units it moves to the right. 5. **Write the equation:** $$y=\frac{2}{5}x-2$$ This is the same as $y=-2+\frac{2}{5}x$. 6. **Match to the choices:** - This matches **A)** $y=-2+\frac{2}{5}x$. **Final answer: A**