Question

Two points with coordinates $(2,3)$ and $(2,1)$ lie on a line. Then $\left(i\right)$ the line is parallel to which axis? $\left(ii\right)$ Justify your answer.

• A. $\left(i\right)$ Parallel to $x$-axis.
  $\left(ii\right)$ Since $x$-coordinate of both the points is $2$, both points lie on the line $y=2$ which is parallel to $x$-axis.
• B. $\left(i\right)$ Parallel to $y$-axis.
  $\left(ii\right)$ Since $y$-coordinate of both the points is $2$, both points lie on the line $y=2$ which is parallel to $y$-axis.
• C. $\left(i\right)$ Parallel to $y$-axis.
  $\left(ii\right)$ Since $x$-coordinate of both the points is $2$, both points lie on the line $x=2$ which is parallel to $y$-axis.
• D. $\left(i\right)$ Parallel to $x$-axis.
  $\left(ii\right)$ Since $y$-coordinate of both the points is $2$, both points lie on the line $x=2$ which is parallel to $y$-axis.

Answer 1

The correct option is C $\left(i\right)$ Parallel to $y$-axis.

$\left(ii\right)$ Since $x$-coordinate of both the points is $2$, both points lie on the line $x=2$ which is parallel to $y$-axis.
By plotting the points on the graph, we get a line $x=2$ which is parallel to $y-$axis.