Draw the graph of the following linear equation in two variables:
$4x - 3y = 12$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $4x - 3y = 12$
$\therefore 4x - 12 = 3y$
$\therefore y = \frac{4x - 12}{3}$
For $x = 0$,we get:
$y = \frac{4(0) - 12}{3} = \frac{-12}{3} = -4$; i.e.,$y = -4$
For $x = 3$,we get:
$y = \frac{4(3) - 12}{3} = \frac{0}{3} = 0$; i.e.,$y = 0$
For $x = 6$,we get:
$y = \frac{4(6) - 12}{3} = \frac{12}{3} = 4$; i.e.,$y = 4$
We can represent these solutions in the tabular form as below:
$x$$0$$3$$6$
$y$$-4$$0$$4$

Plot the points $(0, -4)$,$(3, 0)$,and $(6, 4)$ on a Cartesian plane and join them to obtain the graph of the line $4x - 3y = 12$.

Explore More

Similar Questions

If $(5, 2)$ is a solution of the equation $kx + 4y = 33$,find the value of $k$.

Write four solutions for the following equation: $2x + 3y = 7$.

Draw the graph of the equation represented by a straight line which is parallel to the $x$-axis and at a distance $3$ units below it.

The graph of $y=6$ is a line

The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to $6 \,kg$. Read from the graph,the force required when the acceleration produced is $(i)$ $5 \,m/s^2$,$(ii)$ $6 \,m/s^2$.

Difficult
View Solution

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