Draw the graph of the following linear equation in two variables:
$2x - 3y = 0$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given equation: $2x - 3y = 0$
$\therefore 3y = 2x$
$\therefore y = \frac{2}{3}x$
To draw the graph,we find at least two solutions for the equation:
$1$. For $x = 0$,we get $y = \frac{2}{3}(0) = 0$. So,the point is $(0, 0)$.
$2$. For $x = 3$,we get $y = \frac{2}{3}(3) = 2$. So,the point is $(3, 2)$.
$3$. For $x = -3$,we get $y = \frac{2}{3}(-3) = -2$. So,the point is $(-3, -2)$.
We can represent these solutions in the tabular form as below:
$x$$0$$3$$-3$
$y$$0$$2$$-2$

Plot these points on a Cartesian plane and join them to obtain the straight line representing the equation $2x - 3y = 0$.

Explore More

Similar Questions

Write four solutions for the following equation: $3x + y = 11$.

Let $y$ vary directly as $x$. If $y=12$ when $x=4$,then write a linear equation. What is the value of $y$ when $x=5$?

State whether the following statement is true or false:
An equation in two variables has a unique solution.

Find the common solution of the equations $x + y = 0$ and $x - y = 0$.

Write whether the following statements are True or False? Justify your answers.
$(i)$ The line parallel to the $y$-axis at a distance of $4$ units to the left of the $y$-axis is given by the equation $x = -4$.
$(ii)$ The graph of the equation $y = mx + c$ passes through the origin.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo