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Deepak Bora
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Find the intercepts made by the line 2x – 3y + 12 = 0 on the co-ordinate axis.

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An Important Question of class 10 Based on Equation of a Straight Line Chapter of M.L Aggarwal for ICSE BOARD.
Here you have to find the intercepts made by the line 2x – 3y + 12 = 0 on the co-ordinate axis.
In this question i have little doubt so please solve it.
This is the Question Number 18, Exercise 12.1 of M.L Aggarwal.

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1 Answer

  1. Given line equation is 2x – 3y + 12 = 0

    On putting y = 0, we will get the intercept made on x-axis

    2x – 3y + 12 = 0

    2x – 3 × 0 + 12 = 0,

    2x – 0 + 2 = 0,

    2x = -12

    ⇒ x = -6

    Now, on putting x = 0, we get the intercepts made on y-axis

    2x – 3y + 12 = 0

    2 × 0 – 3y + 12 = 0

    -3y = -12

    ⇒ y = 4

    Hence, the x-intercept and y-intercept of the given line is -6 and 4 respectively.

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