1. **State the problem:** We need to find the slope of the line that relates the area of a garden (in ft²) to the cost to cover it with landscaping stones.
2. **Recall the formula for slope:** The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Identify the points from the graph:** The line passes through $(0, 0)$ and $(45, 180)$.
4. **Calculate the slope:**
$$m = \frac{180 - 0}{45 - 0} = \frac{180}{45}$$
5. **Simplify the fraction:**
$$m = \frac{\cancel{180}}{\cancel{45}} = 4$$
6. **Interpretation:** The slope of 4 means that for every 1 ft² increase in area, the cost increases by 4 units.
**Final answer:** The slope of the line is $4$.
Line Slope 6Eacf4
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