Question

The equation of the line which cuts off an intercept $3\mathrm{units}$ on $OX$and an intercept $-2\mathrm{unit}$ on $OY$, is

• A. $\frac{x}{3}-\frac{y}{2}=1$
• B. $\frac{x}{3}+\frac{y}{2}=1$
• C. $\frac{x}{2}+\frac{y}{3}=1$
• D. $\frac{x}{2}-\frac{y}{3}=1$

Answer 1

The correct option is A

$\frac{x}{3}-\frac{y}{2}=1$

Explanation of the correct answer.

Given: $x$ intercept $a=3$ and $y$ intercept $b=-2$

We know that equation of a line in the intercept form is $\frac{x}{a}+\frac{y}{b}=1$

Therefore, equation of the given line is $\frac{x}{3}-\frac{y}{2}=1$

Hence, Option $\left(\mathrm{A}\right)$ is the correct answer.