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

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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.