Question

A line passes through the point $(-4,6)$ and is parallel to x-axis. Find its equation.

Answer 1

General equation of line is $y=mx+c$ where $m$ is the slope

Slope of line parallel to $\text{x-axis}$ is $m=0$

So $y=\left(0\right)x+c⟹y=c$

$(-4,6)$ lies on our required line $y=c$

$⟹6=0(-4)+c$

$⟹c=6$

Equation of the line is $y=6$