Question

If P $(1,-2)$is the mid-point of the portion of a line intercepted between the coordinate axes, then find the equation of the straight line.

• A. $x-y=4$
• B. $2x-y=4$
• C. $x-2y=5$
• D. $3x-y=5$

Answer 1

The correct option is B $2x-y=4$

Given point $P(1,-2)$ is the mid point of intercepts

Hence intercept points be $(2,0)$ and $(0,-4)$

Equation of line from intercept in intercept form

$\frac{x}{2}+\frac{y}{-4}=1$

$\frac{2x-y}{4}=1$

$2x-y=4$