Question

Which of the following statement is/are true about linear equation in two variables?

• A. One of the variable has exponent as $1.$
• B. Both variables have exponent as $1.$
• C. They obtain a curve with linearly increasing slope.
• D. The graph obtained is a straight line.

Answer 1

Answer: (B), (D)

The graph obtained is a straight line.

Linear equations when plotted on graph results a straight line.

For example, $x+y=1$ is a linear equation.
The graph is as follows:

It is a straight line, passing through $x=1.$

Also, linear equation with two variables have exponents as $1.$
$x+y=1\Rightarrow x^1+y^1=1$

$x+y=1$
$\Rightarrow y=-x+1$
Here, slope is $-1,$ which is a constant.