Question

If a straight line passing through the point $P(-3,4)$ is such that its intercepted portion between the coordinate axes is bisected at P, then its equation is:

• A. $x-y+7=0$
• B. $3x-4y+25=0$
• C. $4x+3y=0$
• D. $4x-3y+24=0$

Answer 1

The correct option is D $4x-3y+24=0$

Let the line be $\frac{x}{a}+\frac{y}{b}=1$

$(-3,4)=[\frac{a}{2},\frac{b}{2}]$

$a=-6,b=8$

equation of line is $4x-3y+24=0$