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Find your Math Personality!

# 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 . . . .

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