The graph of every linear equation in two variables need not be a line. Is the given statement true or false? Justify your answer

Solution:

We know that

Graph of a linear equation in two variables is a line.

For example -

Let us consider a linear equation x + y = 4

It can be written as

y = 4 - x

If x = 0, y = 4 - 0 = 4

If x = 2, y = 4 - 2 = 2

If x = 4, y = 4 - 4 = 0

So the graph will be

Therefore, the statement is false.

✦ Try This: The point (0, 5) lies on the graph of the linear equation 2x + 5y = 10. Is the given statement true or false? Justify your answer

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.2 Problem 7

The graph of every linear equation in two variables need not be a line. Is the given statement true or false? Justify your answer

Summary:

The statement “The graph of every linear equation in two variables need not be a line” is false as the graph will be a straight line

☛ Related Questions:

• Find the points where the graph of the equation 3x + 4y = 12 cuts the x-axis and the y-axis
• At what point does the graph of the linear equation x + y = 5 meet a line which is parallel to the y . . . .
• Determine the point on the graph of the equation 2x + 5y = 20 whose x-coordinate is 5/2 times its or . . . .