Subjects algebra

Gradient 55906C

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1. The problem is to find the gradient of a function or a line. 2. The gradient (or slope) of a line is given by the formula: $$m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line. 3. The gradient represents the rate of change of $y$ with respect to $x$. 4. To calculate the gradient, identify two points on the line, substitute their coordinates into the formula, and simplify. 5. If the problem involves a function $y = f(x)$, the gradient at a point is the derivative $\frac{dy}{dx}$ evaluated at that point. 6. For example, if $y = 3x + 2$, the gradient is constant and equals 3. 7. If you provide specific points or a function, I can calculate the exact gradient for you.