Question

The graph of the linear equation $2x-y=4$ cuts x-axis at

• A. $(2,0)$
• B. $(-2,0)$
• C. $(0,-4)$
• D. $(0,4)$

Answer 1

The correct option is A $(2,0)$

The given linear equation is $2x-y=4$

$2x-y=4$

Put $y=0$

$\Rightarrow$ $2x-0=4$

$\Rightarrow$ $2x=4$

$\therefore$ $x=2$

Substutute $x=2$ in equation,

$\Rightarrow$ $2\left(2\right)-y=4$

$\Rightarrow$ $4-y=4$

$\therefore$ $y=0$

$\Rightarrow$ $(x,y)=(2,0)$

$\Rightarrow$ The graph of the linear equation $2x-y=4$ cuts x-axis at $(2,0).$