Complete the table below the graph with the help of the following graph.

Sr. No. |
First point |
Second point |
Co-ordinates of first point (x_{1} , y_{1}) |
Co-ordinates of second point (x_{2} , y_{2}) |
`(y_2 - y_2)/(x_2 - x_2)` |

1 | C | E | (1, 0) | (3,4) | `4/2=2` |

2 | A | B | (-1,-4) | (0,-2) | `2/1 = 2` |

3 | B | D | (0,-2) | (2,2) | `4/2=2` |

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#### Solution

From the graph

Sr. No. |
First point |
Second point |
Co-ordinates of first point (x_{1} , y_{1}) |
Co-ordinates of second point (x_{2} , y_{2}) |
`(y_2 - y_2)/(x_2 - x_2)` |

1 | C | E | (1, 0) | (3,4) | |

2 | A | B | (-1,-4) | (0,-2) | |

3 | B | D | (0,-2) | (2,2) |

∴ For any two points (x_{1}, y_{1}) and (x_{2}, y_{2}) on a line graph, the ratio `(y_2 - y_1)/(x_2-x_1)`

is always constant.

Concept: The Mid-point of a Line Segment (Mid-point Formula)

Is there an error in this question or solution?

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