Question

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

$y=4x-\frac{5}{2}$

• A. It passes through $(2.5,0)$ and $m=-4$
• B. It passes through $(2.5,0)$ and $m=4$
• C. It passes through $(0,2.5)$ and $m=-4$
• D. It passes through $(0,-2.5)$ and $m=4$

Answer 1

The correct option is D It passes through $(0,-2.5)$ and $m=4$

The given equation is $y=4x-\frac{5}{2}$

Here $x$ is the independent variable.

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

$x=-2$

$\Rightarrow y=-10.5$,

$x=-1$

$\Rightarrow y=-6.5$,

$x=2$

$\Rightarrow y=5.5$.

$x=4$

$\Rightarrow y=13.5$

So, the ordered paires of values of $(x,y)=(-2,-10.5),(-1,-6.5),(2,5.5)$ and $ (2,13.5).

Now we plot them on a graph.

The line passes through $(0,-2.5)$ and $m=4.$.