Question

Check whether the line $4y-3x=3y-3x+1$ is parallel to the x-axis or not?

Answer 1

A line parallel to the x-axis is of the form of $y=k$ where, $k$ is constant.
Given equation: $4y-3x=3y-3x+1$
$4y-3x=3y-3x+1$
$4y-3y=-3x+3x+1$
$y=1$
Since, the line $4y-3x=3y-3x+1$ is of the form of $y=k$ i.e $y=1$.
Therefore, the line $4y-3x=3y-3x+1$ is parallel to x-axis.