Question

Draw the graph for the linear equation $3y=2x-4$. Which of the following is correct?

• A. The line passes through $(0,2)$ and $m=-2/3$
• B. The line passes through $(0,2)$ and $m=2/3$
• C. The line passes through $(2,0)$ and $m=-2/3$
• D. The line passes through $(2,0)$ and $m=2/3$

Answer 1

Answer: (D)

The line passes through $(2,0)$ and $m=2/3$

Given linear equation is $3y=2x-4$ i.e. $y=\frac{2}{3}x-\frac{4}{3}$

$x$ is independent and $y$ is dependent variable.

Let's assign some values to $x$ and find the corresponding values of $y$

$x$ $5$ $-4$ $-7$

$y$ $2$ $-4$ $-6$

So, the ordered pair of values of $(x,y)$ are $(5,2),(-4,-4),(-7,-6)$

Let's plot these points on a graph and then we get the above graph image

We get the slope as $\frac{2}{3}$ and it passes through $(2,0)$.

Hence, option D is correct.