Easy
State whether the following statement is True or False. Justify your answer:
The graph of every linear equation in two variables need not be a line.
The graph of every linear equation in two variables need not be a line.
(FALSE) The statement is False.
By definition,a linear equation in two variables is of the form $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a$ and $b$ are not both zero. The geometric representation of such an equation in a Cartesian plane is always a straight line. Therefore,it is incorrect to say that the graph need not be a line.
By definition,a linear equation in two variables is of the form $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a$ and $b$ are not both zero. The geometric representation of such an equation in a Cartesian plane is always a straight line. Therefore,it is incorrect to say that the graph need not be a line.
Explore More
Similar Questions
State whether the following statement is true or false:
The graph of the linear equation $5x - 3y = 30$ intersects the $y$-axis at the point $(6, 0)$.
The graph of the linear equation $5x - 3y = 30$ intersects the $y$-axis at the point $(6, 0)$.
Easy
View SolutionIf the point $(-2, 5)$ lies on the graph of the equation $ax + 3y = 7$,find the value of $a$.
Easy
View SolutionThe graph of the linear equation $5x - 3y = 20$ intersects the $x$-axis at:
Easy
View SolutionWrite the following as an equation in two variables:
$4y = 24$
$4y = 24$
Easy
View SolutionWrite four solutions for the equation $3x - 24 = 0$.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo