Question

Equation: $2x-y=4$ meets

• A. $x$ axis at $(-4,0)$
• B. $y$ axis at $(0,2)$
• C. $x$ axis at $(2,0)$
• D. $y$ axis at $(0,-4)$

Answer 1

Answer: (C), (D)

The correct options are
C $y$ axis at $(0,-4)$
D $x$ axis at $(2,0)$

$2x-y=4$ ...... $\left(i\right)$

This line meet at $x-$axis, then the value of $y=0$ at $x$ axis

Put the value $y=0$ in equation $\left(i\right)$, we get

$2x-0=4$

$\Rightarrow 2x=4$

$\Rightarrow x=2$

This line meet $y$-axis, then the value of $x=0$

Put the value $x=0$ in equation $\left(i\right)$, we get

$2\times 0-y=4$

$\Rightarrow -y=4$

$\Rightarrow y=-4$

Thus, the equation meets $x$ axis at $(2,0)$ and $y$ axis at $(0,-4)$