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  • The graph of every linear equation in two variables need not be a line.

Write 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.

Answers (1)

Answer:

False

Solution:

We know that the standard form of any linear equation is ax + by + c = 0

If we put different value of x we get different values of y corresponding to the values of x.

So we have x proportional to y.

Thus we can say \frac{x}{y} = constant.

Now, the general equation of a line is y = mx + c, which also gives a direct proportionality between x and y.

So if we plot a graph with the help of such points, it will always be a line

Therefore the given statement is false.

Posted by

infoexpert21

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