Read the result
A positive gradient climbs left to right, a negative gradient falls, and a large magnitude means a steep line. A vertical line is not a large slope; it is undefined.
Coordinate geometry
Gradient of a Line
Turn two points into a slope and see the rise-run triangle that controls the steepness of the line.
Formula
m = (y2 - y1) / (x2 - x1)
Result
Worked substitution
Gradient measures how much y changes for each unit change in x.
Where it helps
Gradients drive straight-line equations, rates of change, tangent estimates, and quick checks for parallel or perpendicular lines.
Common slip
A zero run gives a vertical line. Do not write 0 as the gradient; the division is not defined.
Try it
Keep A fixed, then move B horizontally. Notice how the run changes the gradient even when the rise stays similar.