Te gradient of a straight line is found by calculating \displaystyle \frac{rise}{step}

## Summary/Background

Straight lines have equations of the form

**y=mx+c**, where**c**is the "y-intercept", in other words the point where the line crosses the y-axis.**m**is the gradient of the line, which can be found from the graph by constructing a triangle as shown to the right and measuring the "rise" and the "step". The gradient is given by "rise" divided by "step"## Software/Applets used on this page

## Glossary

### gradient

The slope of a line; the angle of its inclination to the horizontal.

### graph

A diagram showing a relationship between two variables.

The diagram shows a vertical y axis and a horizontal x axis.

The diagram shows a vertical y axis and a horizontal x axis.

### straight

The type of line produced by a linear equation.

### union

The union of two sets A and B is the set containing all the elements of A and B.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

GCSE Foundation (UK) | Algebra | Graphs | The straight line graph | - |

Universal (all site questions) | G | Graphs | The straight line graph | - |

CBSE IX (India) | Algebra | Polynomials | Constant, linear, quadratic and cubic | - |

CBSE XI (India) | Coordinate Geometry | Straight Lines | General equation of a line | - |

Edexcel GCSE (9-1) Foundation (UK) | A: Graphs | A9: Plotting Straight-Line Graphs | Straight-Line Graphs | - |

OCR GCSE (9-1) Foundation (UK) | 7: Graphs of Equations and Functions | 7.02a: Straight Line Graphs | Straight-Line Graphs | - |

AQA GCSE (9-1) Foundation (UK) | A: Graphs | A9: Plotting Straight-Line Graphs | Straight-Line Graphs | - |

CIE IGCSE (9-1) Maths (0626 UK) | 5 Co-ordinate Geometry | B5.4 Equations of Straight Lines | Straight-Line Graphs | - |