Question

The linear relationship between two variables is called

• A. linear expression between two variables
• B. quadratic expression between two variables
• C. linear equation between two variables
• D. quadratic equation between two variables

Answer 1

The correct option is C linear equation between two variables

The linear relationship between two variables is called a linear equation between the two variables.

Let's define a relationship between $x$ and $y.$

$x$ is directly proportional to $y.$
$\Rightarrow x\propto y$
$\Rightarrow x=k\cdot y$

Also, when $y=0,x=x_0$
$\therefore$ The final equation is
$x=ky+x_0$

This is a linear equation with the two variables because the exponent of each variable is $1.$

Also, the expressions $x$ and $ky+x_0$ are connected by an equal sign. Hence it is an equation.