# Coordinate Geometry Formulas

The list of all coordinate geometry formulas for class 9, 10, 11 is provided here to help the students. To recall, coordinate geometry is the study of geometry using the coordinate points. In coordinate geometry, the position of a point can be easily defined using coordinates.

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## Coordinate Geometry Formulas List for Class 9, 10 and 11

Coordinate geometry is an integral topic in class 9, 10 and 11. All the important coordinate geometry formulas for class 9, class 10 and class 11 are given below.

All Formulas of Coordinate Geometry | |
---|---|

General Form of a Line | Ax + By + C = 0 |

Slope Intercept Form of a Line | y = mx + c |

Point-Slope Form | y − y_{1}= m(x − x_{1}) |

The slope of a Line Using Coordinates | m = Δy/Δx = (y_{2 }− y_{1})/(x_{2 }− x_{1}) |

The slope of a Line Using General Equation | m = −(A/B) |

Intercept-Intercept Form | x/a + y/b = 1 |

Distance Formula | |P_{1}P_{2}| = √[(x_{2 }− x_{1})^{2 }+ (y_{2 }− y_{1})^{2}] |

For Parallel Lines, | m_{1 }= m_{2} |

For Perpendicular Lines, | m_{1}m_{2} = -1 |

Midpoint Formula | M (x, y) = [½(x_{1 }+ x_{2}), ½(y_{1 }+ y_{2})] |

Angle Formula | tan θ = [(m_{1 }– m_{2})/ 1 + m_{1}m_{2}] |

Area of a Triangle Formula | ½ |x_{1}(y_{2}−y_{3})+x_{2}(y_{3}–y_{1})+x_{3}(y_{1}–y_{2})| |

Distance from a Point to a Line | d = [|Ax_{0 }+ By_{0 }+ C| / √(A^{2 }+ B^{2})] |

## Topics Related to Coordinate Geometry Formulas

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### Practice Questions Using Coordinate Geometry Formulas

- Find the distance between two points (1, -2) and (-3, 5). (
**Hint:**Distance Formula) - Calculate the slope of a line with coordinates (2,7) and (8,1). (
**Hint****:**Slope Formula) - Calculate the area of a triangle ∆ABC whose vertices are at A(1,2), B(4,2) and C(3,5). (
**Hint****:**Area Of A Triangle In Coordinate Geometry) - Calculate the midpoint of the line segment joining the points P(4, 5) and Q(6, 7) (
**Hint****:**Midpoint Formula)

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