Question

Write the equation of the line, which is parallel to $x-axis$ and passing through $(0,-3)$

Answer 1

Finding the equation of the line:

The general equation of the line is $y=mx+c$ where $m$is the slope,

The slope of the line parallel to $x-axis$ is $m=0$.

So, $y=\left(0\right)x+c$

$\Rightarrow y=c$ as $\left(0,-3\right)$ lies on our required line $y=c$

$\Rightarrow -3=0\left(0\right)+c$

$\Rightarrow c=-3$

Thus, $y=-3$

Hence, the required equation is $y=-3$