Question

Draw the graph for the linear equation given below:

$3x+2y=0$

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

Answer 1

Answer: (B)

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

Given linear equation is $3x+2y=0$ i.e. $y=\frac{-3}{2}x$

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

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

$x$ $2$ $4$ $-2$ $-4$

$y$ $-3$ $-6$ $3$ $6$

So, the ordered pair of values of $(x,y)$ are $(2,-3),(4,-6),(-2,3),(-4,6)$

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

The line in the graph passes through $(0,0)$ and slope is $m=\frac{-3}{2}$

Hence, option B is correct.