Question

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

$y=2x+3$

• A. It passes through $(3,0)$ and $m=\frac{1}{2}$
• B. It passes through $(3,0)$ and $m=-2$
• C. It passes through $(0,3)$ and $m=2$
• D. It passes through $(0,3)$ and $m=\frac{1}{2}$

Answer 1

Answer: (C)

The given equation is $y=2x+3$

Here $x$ is the independent variable.

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

$x=-6$

$\Rightarrow y=-9$,

$x=-1$

$\Rightarrow y=1$,

$x=3$

$\Rightarrow y=9$

$x=6$

$\Rightarrow y=15$

So, the ordered pairs of values of $(x,y)=(-6,-9),(-1,1),(3,9)$and $(6,15)$.

Now we plot them on a graph.

The line passes through $(0,4)$ and $m=2$.