Question

State whether the given statement is true or false:

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

• A. True
• B. False

Answer 1

The correct option is B False

Every linear equation in two variables can be written as $y=mx+c$.

Here, for each value of $x$ there is a unique value of $y$.

Also, $x$ & $y$ are in direct variation.

Hence, $\frac{y}{x}$ will always remain constant.

Consequently, the graph will maintain a definite slope making it a straight line.

$\therefore$ The given statement is false.