Gradient of a Line Flashcards

GCSE Mathematics (Edexcel) 1MA1

Gradient of a line

The measure of the steepness of a line, calculated as the change in y divided by the change in x.

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Terms in this set (10)

1

Gradient of a line

The measure of the steepness of a line, calculated as the change in y divided by the change in x.

2

Gradient formula

Gradient = (change in y) ÷ (change in x) or (y2 - y1) ÷ (x2 - x1).

3

Positive gradient

A line that slopes upwards from left to right.

4

Negative gradient

A line that slopes downwards from left to right.

5

Zero gradient

A horizontal line where the gradient is 0.

6

Undefined gradient

A vertical line where the gradient is undefined because division by zero occurs.

7

Gradient from a graph

To find the gradient, pick two points on the line, calculate the vertical change (rise) and horizontal change (run), then divide rise by run.

8

Gradient in y = mx + c

The gradient of the line is represented by the coefficient of x, which is m.

9

Parallel lines and gradient

Parallel lines have the same gradient.

10

Perpendicular lines and gradient

The gradients of perpendicular lines multiply to give -1 (m1 × m2 = -1).

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