Gradient

Definition of gradient

The ratio of the vertical distance to the horizontal distance between two points on a straight line

Formula of gradient, m

Positive gradient

A straight line that is inclined upwards, from left to right

Negative gradient

A straight line that is inclined downwards, from left to right

Formula of the gradient of a straight line that passes through two points (a, b) and (c, d)

Formula of the gradient of a straight line that intersects the x-axis at point (a, 0) and the y-axis at point (0, b)

Formula of the gradient of a straight line that passes through the origin (0, 0) and point (x, y)

Gradient of a straight line parallel to the x-axis

Zero

Gradient of a straight line parallel to the y-axis

Undefined