Subjects algebra

Line Gradient 6Db981

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1. The problem asks us to find the gradient (slope) of the line passing through the points (0,0) and (10,4). 2. The formula for the gradient $m$ of a line 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: $$m = \frac{4 - 0}{10 - 0} = \frac{4}{10}$$ 4. Simplify the fraction: $$m = 0.4$$ 5. The problem asks for the answer to 1 decimal place, so the gradient is: $$m = 0.4$$ Therefore, the gradient of the line is 0.4.