Gradient of a line joining two points

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The gradient (or slope) of a line joining two points is a measure of how steep or inclined the line is when connecting those two specific points in a two-dimensional Cartesian coordinate system. In mathematical terms, the gradient is the ratio of the vertical change (change in the y-coordinate) to the horizontal change (change in the x-coordinate) between the two points.

The formula to calculate the gradient (m) of a line joining two points (x1​,y1​) and (x2​,y2​) is given by:

Gradient Formula: \( m=\frac{y_2-y_1}{x_2-x_1} \)​​

Where:

• • • $m$ represents the gradient or slope of the line.
    • (x1​,y1​) are the coordinates of the first point.
    • (x2​,y2​) are the coordinates of the second point.

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