Question

Give the geometric representation of the linear equation: $y=3$ as in two variables.

Answer 1

Step 1: State the standard equation

We know that the equation of a straight line is given as,

$y=mx+c$

where $m$ is the slope of the line, and $c$ is the $y$ intercept.

Step 2: Express in two variables

The given equation is $y=3$, which is a point on the $y$-axis.

Therefore, $x=0$

Since it is a point on $y$-axis its $y$ intercept is also $0$.

$\therefore y=0.x+3$

$\Rightarrow 0.x+y-3=0$

Hence, $y=3$ in two variables can be expressed as $0.x+y-3=0$.