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Deepak Bora
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Find the equation of the line whose x-intercept is 6 and y-intercept is – 4.

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This is the Important question of class 10 Based on Equation of a Straight Line Chapter of M.L Aggarwal book for ICSE BOARD.
Here x-intercept and y-intercept is given.
So, you have to find the equation of the line
This is the Question Number 25, Exercise 12.1 of M.L Aggarwal.

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  1. Given, x-intercept of a line is 6

    So,

    The line will pass through the point (6, 0)

    Also given, the y -intercept of the line is -4 ⇒ c = -4

    So, the line will pass through the point (0, -4)

    Now,

    Slope, m = m = y2 – y1/ x2 – x1

    m = (-4 – 0)/(0 – 6) = -4/-6 = 2/3

    Thus, the equation of the line is given by

    y = mx + c

    y = (2/3)x + (-4)

    3y = 2x – 12

    ⇒ 2x – 3y – 12 = 0

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