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

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.