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** midpoint between two points calculator** - step by step calculation, formula & solved example to find the mid or middle point of 2 given endpoints of a line (x

It is a center point between two end points on a XY coordinates {(x1, y1) & (x2, y2)} mathematically represented by the below formula

Midpoint between 2 Points | |
---|---|

Two Points (x1, y1) & (x2, y2) | Midpoint |

(2, 4) and (4, 4) | (3, 4) |

(0, 2) and (2, 8) | (1, 5) |

(-4, 5) and (-6, 7) | (-5, 6) |

(3, -5) and (7, 9) | (5, 2) |

(1, 0) and (5, 4) | (3, 2) |

(-7, 5) and (7, 3) | (0, 4) |

(4, 7) and (2, 9) | (3, 8) |

(1, 0) and (5, 4) | (3, 2) |

(2, 0) and (8, 8) | (5, 4) |

(3, 12) and (9, 15) | (6, 13.5) |

(6, 5) and (9, 2) | (7.5, 3.5) |

(1, 7) and (1, 23) | (1, 15) |

(2, 7) and (6, 3) | (4, 5) |

(6, 7) and (4, 3) | (5, 5) |

(1, 7) and (3, 3) | (2, 5) |

(1, 7) and (3, 2) | (2, 4.5) |

(8, 5) and (3, 7) | (5.5, 6) |

(9, 8) and (3, 5) | (6, 6.5) |

(-1, -6) and (4, 5) | (1.5, -0.5) |

(-3, -1) and (4, -5) | (0.5, -3) |

(-4, 4) and (-2, 2) | (-3, 3) |

(-4, 5) and (-6, 7) | (-5, 6) |

(-4, 9) and (1, -6) | (-1.5, 1.5) |

(-5, -7) and (2, -4) | (-1.5, -5.5) |

(-7, 1) and (3, -5) | (-2, -2) |

This below solved example let users to understand how the example values are being used in this calculation to find the middle point between two endpoints of a line.

**Problem:**

Find the midpoint for a line having 2 endpoints (x_{1}, y_{1}) = (6, 7) & (x_{2}, y_{2}) = (9, 5).

**Solution:**

Let (x_{1}, y_{1})) be (6, 7) & (x_{2}, y_{2}) be (9, 5)

Apply the values in the equation

= ((x_{1} + x_{2})/2 , (y_{1} + y_{2})/2)

= ((6 + 9)/2 , (7 + 5)/2)

= (15/2, 12/2)

= (7.5, 6)

The above midpoint calculator, formula & solved example may useful for users to understand, practice and verify such calculations online. Unlike most of the other calculators, it provides complete step by step calculation for each calculation users do by using this Geometry tool.

Similar Resource |

Worksheet to Find Midpoint between two Points |

Distance Between two Points Worksheet |

Cramer's Rule Formula for Linear Equation |

Trigonometry Addition subtraction formula |

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