Question

find the equation of a straight line parallel to $X$-axis and passing through the point $(-2,7)$.

Answer 1

Finding the equation of the line:

The general form of a line parallel to $X$-axis is represented as

$y=a$ …………………………………(1)

Since equation (1) is passing through the point $(-2,7)$

Therefore, this point will satisfy the equation

$\Rightarrow a=7$

substituting , $a=7$ in equation (1)

$\begin{array}{rcl}y& =& 7\\ & \Rightarrow & y-7=0\end{array}$

Hence required the equation of the line is $\begin{array}{rcl}y-7& =& 0\end{array}$