1. The problem asks: What is the gradient?\n\n2. The gradient typically refers to the slope of a line or the vector of partial derivatives in multivariable calculus. For a line, the gradient $m$ is calculated as the change in $y$ over the change in $x$: $$m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$$\n\n3. Important rule: The gradient measures how steep a line is. A positive gradient means the line rises as $x$ increases, a negative gradient means it falls, and zero means the line is horizontal.\n\n4. If you have two points $(x_1, y_1)$ and $(x_2, y_2)$, plug them into the formula to find the gradient.\n\n5. Example: If the points are $(1, 2)$ and $(3, 6)$, then $$m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2$$\n\n6. This means the line rises 2 units vertically for every 1 unit it moves horizontally to the right.\n\nFinal answer: The gradient is the slope calculated by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ which tells how steep the line is.