Subjects algebra

Line Slope 2B7Dee

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Line Slope 2B7Dee


1. **State the problem:** Find the slope of the line given points on the graph. 2. **Recall the slope formula:** 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 points from the graph:** From the description, the line passes through approximately $(0, 2)$ and $(2, 1)$. 4. **Calculate the slope:** $$m = \frac{1 - 2}{2 - 0} = \frac{-1}{2} = -\frac{1}{2}$$ 5. **Interpretation:** The slope is negative, meaning the line descends as $x$ increases, which matches the graph description. **Final answer:** The slope of the line is $-\frac{1}{2}$.