Question

Which of the following option is true for the given linear equation $y=-x$?

• A. It is a line passing through $(1,-1)$ and $m=-1$
• B. It is a line passing through $(0,0)$ and $m=-1$
• C. It is a line passing through $(0,0)$ and $m=1$
• D. It is a line passing through $(1,-1)$ and $m=1$

Answer 1

Answer: (A), (B)

The correct options are
A It is a line passing through $(1,-1)$ and $m=-1$
B It is a line passing through $(0,0)$ and $m=-1$

The given equation is $y=-x$.

Here $x$ is the independent variable.

We assign at least any $3$ values of $x$ and obtain the corresponding values of $y$.

$x=-2⟶y=2$,

$x=2⟶y=-2$,

$x=3⟶y=-3$

So, the ordered pairs of values of

$(x,y)=(-2,-6),(2,6)$ and $(3,9)$

Now we plot them on a graph.