Question

Draw the graph for the equation, given below :
2x + 3y = 0

Answer 1

2x + 3y = 0
⇒ 3y = - 2x
∴ y = ${\displaystyle \frac{-2x}{3}}$

When x = - 3;  y = ${\displaystyle \frac{-2(-3)}{3}=\frac{6}{3}}$ = 2

When x = 3;  y = ${\displaystyle \frac{-2\left(3\right)}{3}=\frac{-6}{3}}$ = - 2

When x = 6;  y = ${\displaystyle \frac{-2\left(6\right)}{3}=\frac{-12}{3}}$ = - 4

X	- 3	3	6
Y	2	- 2	- 4

Plotting these points we get the required graph as shown below: