Question

The equation of straight line passing through $(4,3)$ and making intercepts on coordinate axis whose sum is $-1$ is $\frac{x}{-2}+\frac{y}{b}=1$.Find $b$

Answer 1

Solution:-

Two intercept form for the equation of a line-

$\frac{x}{a}+\frac{y}{b}=1$

where as,

$a=x-intercept$

$b=y-intercept$

Given equation of line-

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

$x-intercept=-2$

$y-intercept=b$

As given that sum of intercepts on co-ordinate axis is -1.

$\therefore -2+b=-1$

$\Rightarrow b=2-1=1$

Hence, the correct answer is 1.