Question

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

• A. $x=-2$, $y=3$
• B. $x=2$, $y=-3$
• C. $x=2$, $y=3$
• D. None of these

Answer 1

Answer: (A)

Position of the lines is shown in the figure.



The $y$-coordinate of every point on the line parallel to $x$-axis is $3$, therefore, equation of the line parallel to $x$-axis and passing through $(-2,3)$ is $y=3$.
Similarly, equation of the line parallel to $y$-axis and passing through $(-2,3)$ is $x=-2$.