Question

Draw the graph for the linear equation $x=-2y$

• A. passes through $(0,0)$ and $m=2$
• B. passes through $(0,0)$ and $m=-2$
• C. passes through $(1,2)$ and $m=-\frac{1}{2}$
• D. passes through $(0,0)$ and $m=-\frac{1}{2}$

Answer 1

The correct option is D passes through $(0,0)$ and $m=-\frac{1}{2}$

The given equation is $x=-2y$

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

Here $x$ is the independent variable.

We assign any $4$ values of $x$ and obtain the corresponding values of $y$.

$x=-6$

$\Rightarrow y=3$,

$x=-2$

$\Rightarrow y=-1$,

$x=2$

$\Rightarrow y=-1$

$x=6$

$\Rightarrow y=-3$

So, the ordered paires of values of $(x,y)=(-6,3),(-2,-1),(2,-1)$ and $(6,-3)$.

Now we plot them on a graph.

The line passesd through $(0,0)$ and $m=-\frac{1}{2}$.