Subjects algebra

Line Gradient 0Ade3B

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1. The problem asks for the gradient (slope) of the line passing through the points (-2, -5) and (2, 5). 2. The formula for the gradient $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Substitute the given points into the formula: $$m = \frac{5 - (-5)}{2 - (-2)} = \frac{5 + 5}{2 + 2} = \frac{10}{4}$$ 4. Simplify the fraction: $$m = \frac{10}{4} = \frac{5}{2} = 2.5$$ 5. Therefore, the gradient of the line is $2.5$. This means the line rises 2.5 units vertically for every 1 unit it moves horizontally to the right.