Question

Find the equations of the lines parallel to axes and passing through $(–2,3)$.

Answer 1

Equation of lines
Case $1:$ Drawing a line which is parallel to $x-$axis and passing through $(–2,3)$
For points on a line parallel to $x-$axis, the $y$ coordinate is constant.Here, $y=3$ for the points on the line .
Hence, the equation of the line is $y=3.$

Case $2:$ Similarly,
Drawing a line which is parallel to y- axis and passing through $(–2,3)$

For points on a line parallel to $y-$axis, the $x$ coordinate is constant.
Here, $x=-2$ for the point $(-2,3)$ which is on the line.
Hence, the equation of the line is $x=-2.$