Subjects algebra

Line Gradient F582A7

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1. The problem asks to find the gradient of the line shown in the graph. 2. The gradient (or slope) of a line is calculated by the formula: $$\text{Gradient} = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. To find the gradient, pick two points on the line. Suppose the points are $(x_1, y_1)$ and $(x_2, y_2)$. 4. Calculate the difference in the $y$-coordinates and the difference in the $x$-coordinates. 5. Substitute these values into the formula and simplify. 6. The gradient tells us how steep the line is: a positive gradient means the line slopes upwards from left to right, which matches the description. Since the exact coordinates are not given, the gradient is represented as $l$ as stated in the problem. Final answer: The gradient of the line is $l$.