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Deepak Bora
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Prove that the line through (0, 0) and (2, 3) is parallel to the line through (2, – 2) and (6, 4).

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An Important Question of M.L Aggarwal book of class 10 Based on Equation of a Straight Line Chapter for ICSE BOARD.
You have to Prove that the line through two given co-ordinates are parallel to the line through another two co-ordinates.
This is the Question Number 24, Exercise 12.2 of M.L Aggarwal.

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1 Answer

  1. Let the slope of the line through (0, 0) and (2, 3) be m1

    So, m1 = (y2 – y1)/ (x2 – x1)

    = (3 – 0)/ (2 – 0)

    = 3/2

    And, let the slope of the line through (2, -2) and (6, 4) be m2

    So, m2 = (y2 – y1)/ (x2 – x1)

    = (4 + 2)/ (6 – 2)

    = 6/4 = 3/2

    It’s clearly seen that the slopes m1 = m2

    Thus, the lines are parallel to each other.

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