Subjects algebra

Slope Line Segment Dc525C

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1. **Problem:** Determine the slope of the line segment connecting points A(-2, 3) and B(3, -2). 2. **Formula:** The slope $m$ between 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. **Calculate slope:** $$m = \frac{-2 - 3}{3 - (-2)} = \frac{-5}{3 + 2} = \frac{-5}{5}$$ 4. **Simplify:** $$m = -1$$ 5. **Interpretation:** The slope of the line segment is $-1$, which means the line goes down one unit vertically for every one unit it moves horizontally to the right. **Final answer:** The slope is $-1$. (Note: The multiple choice options given do not include $-1$, so the exact slope is $-1$ based on the points.)