Question

$3x+2y=6$

• A. $(-2,0)$ and $(0,3)$
• B. $(2,0)$ and $(0,-3)$
• C. $(0,2)$ and $(3,0)$
• D. $(2,0)$ and $(0,3)$

Answer 1

Answer: (D)

The given equation is $3x+2y=6$

$\Rightarrow y=-1.5x+3$

Here $x$ is the independent variable.

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

$x=-6$

$\Rightarrow y=12$,

$x=-3$

$\Rightarrow y=7.5$,

$x=3$

$\Rightarrow y=-1.5$

$x=6$

$\Rightarrow y=-6$.

The pairs of $(x,y)=(-6,12),(-3,7.5),(3,-1.5)$ and $(6,-6)$.

Now we plot them on a graph.

The line passes through $(0,3)$ and $m=-1.5$.