Subjects algebra

Line Slope 75960F

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Question: What is the slope of the line?
1. **State the problem:** We need to find the slope of a line passing through the points approximately $(-4, 3)$ and $(4, -3)$. 2. **Formula for slope:** The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Substitute the points:** Using $(-4, 3)$ as $(x_1, y_1)$ and $(4, -3)$ as $(x_2, y_2)$, we get $$m = \frac{-3 - 3}{4 - (-4)} = \frac{-6}{4 + 4} = \frac{-6}{8}$$ 4. **Simplify the fraction:** $$m = \frac{\cancel{-6}}{\cancel{8}} \times \frac{-3}{4}$$ 5. **Final answer:** The slope of the line is $$m = -\frac{3}{4}$$