Question: What is the slope of the line?
1. **State the problem:** We need to find the slope of a line that crosses the y-axis at $ (0, 2) $ and the x-axis at $ (1.5, 0) $.
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:** Here, $ (x_1, y_1) = (0, 2) $ and $ (x_2, y_2) = (1.5, 0) $.
4. **Calculate the slope:**
$$ m = \frac{0 - 2}{1.5 - 0} = \frac{-2}{1.5} $$
5. **Simplify the fraction:**
$$ m = \frac{\cancel{-2}}{\cancel{1.5}} = -\frac{4}{3} $$
6. **Interpretation:** The slope is negative, indicating the line descends from left to right.
**Final answer:** The slope of the line is $ -\frac{4}{3} $.