Question

Find $x$ and $y$ intercepts of the given line:

$2x-y=11$

• A. $a=\frac{11}{2},b=11$
• B. $a=\frac{11}{2},b=-11$
• C. $a=\frac{11}{2},b=-11$
• D. $a=\frac{2}{11},b=-11$

Answer 1

Answer: (B)

$a=\frac{11}{2},b=-11$

Given equation is $2x-y=11$ ........ $\left(i\right)$

Let's represent the given equation in two-intercept form i.e. in the form of $\frac{x}{a}+\frac{y}{b}=1$, where $a$ is $x-$intercept and $b$ is $y-$intercept.

Now, $2x-y=11$

$⟹\frac{2x}{11}-\frac{y}{11}=1$

$⟹\frac{x}{\frac{11}{2}}+\frac{y}{-11}=1$

$a=\frac{11}{2},b=-11$

Hence, option B is correct.