Question

Which of the following is/are true regarding the following linear equation:

$y=-x+4$

• A. It passes through $(4,0)$ and $m=-1$
• B. It passes through $(0,0)$ and $m=-1$
• C. It passes through $(4,0)$ and $m=1$
• D. It passes through $(0,0)$ and $m=1$

Answer 1

Answer: (A)

The given equation is $y=-x+4$.

Here $x$ is the independent variable.

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

$x=-9$

$\Rightarrow y=13,x=-3$

$\Rightarrow y=7$,

$x=6$

$\Rightarrow y=-2$

$x=9$

$\Rightarrow y=-5$

So, the ordered pairs of values of $(x,y)=(-9,13),(-3,7),(6,-2)$ and $(9,-5)$.

Now we plot them on a graph.

The line passes through $(4,0)$ and $m=-1$.