Find the equation of the line which makes intercepts 4 and - 2 on the line x-axis and the y-axis respectively ?

  1. x - 2y - 2 = 0
  2. x - 2y - 4 = 0
  3. 4x - y - 4 = 0
  4. 4x - y - 2 = 0

Answer (Detailed Solution Below)

Option 2 : x - 2y - 4 = 0
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Detailed Solution

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CONCEPT:

If a line cuts the intercepts a and b on the X and Y – axis respectively, then the equation of such line is given as: \(\frac{x}{a} + \frac{y}{b} = 1\)

CALCULATION:

Given: The line makes intercepts of length 4 and - 2 on the line x-axis and the y-axis respectively.

As we know that intercept form of a line is given by: \(\frac{x}{a} + \frac{y}{b} = 1\)

Here, a = 4 and b = - 2

So, the required equation of line is: \(\frac{x}{4} - \frac{y}{2} = 1\)

⇒ x - 2y = 4

⇒ x - 2y - 4 = 0

Hence, option B is the correct answer.

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