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The vertical change divided by the horizontal change between two points on a straight line.

The change in $y$ divided by the corresponding change in $x$ between two points on a line.

A positive gradient rises from left to right, a negative gradient falls, and a zero gradient gives a horizontal line.

If an equation is not in the form $y=mx+c$ , rearrange it before reading off the gradient.

Do not confuse the rules: parallel lines have equal gradients; perpendicular lines have gradients whose product is .

The rate at which $y$ changes as $x$ changes along a straight line; it is calculated as change in $y$ divided by change in $x$ .

The steepness and direction of a straight line, calculated as change in $y$ divided by change in $x$ .

The change in the vertical quantity divided by the change in the horizontal quantity; it measures a rate of change.

The gradient describes the slope of a straight line and is calculated as change in $y$ divided by change in $x$ .

The change in the vertical coordinate divided by the corresponding change in the horizontal coordinate.

The change in the vertical coordinate divided by the change in the horizontal coordinate: $\frac{\Delta y}{\Delta x}$ .

The change in $y$ divided by the change in $x$ between two points on a non-vertical straight line.

The change in $y$ divided by the corresponding change in $x$ between two points on a non-vertical line.

A zero gradient produces a horizontal line.

The change in the $y$ -coordinate divided by the corresponding change in the $x$ -coordinate along a straight line; it measures the line's steepness and direction.

The change in the vertical coordinate divided by the corresponding change in the horizontal coordinate; it measures a graph's rate of change.

The change in $y$ divided by the corresponding change in $x$ ; it measures the steepness of a straight line.

The change in the vertical coordinate divided by the corresponding change in the horizontal coordinate.

The rate at which $y$ changes as $x$ changes; on a straight-line graph it is calculated by change in $y$ divided by change in $x$ .

Its gradient is 75, meaning that each increase of 1 person produces an increase of 75 g of flour.

The vertical change divided by the corresponding horizontal change along a line; it measures the line's steepness and direction.

A measure of the rate at which $y$ changes as $x$ increases; for two points it is $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

A measure of a line's steepness, calculated as the change in $y$ divided by the corresponding change in $x$ .

The change in the vertical value divided by the corresponding change in the horizontal value. It measures a line’s slope.

Lines with the same gradient are only distinct parallel lines if their intercepts differ. Identical equations describe the same line.

The rate at which a straight line rises or falls as its horizontal position increases, calculated as change in $y$ divided by change in $x$ .

The change in the vertical-axis value divided by the change in the horizontal-axis value; it describes how quickly one quantity changes with another.

Gradient

Definition

How each exam board covers it

AQA GCSE Mathematics · 8300

Exam tips

Revise Mathematics with GradeGen

Edexcel GCSE Mathematics · 1MA1

OCR GCSE Mathematics · J560