The equation of line parallel to the x-axis such that the distance of 5 units down to the x-axis.

Linear equations are used to describe physical phenomena such as the speed of an object, the speed of a train between two stations, and so on. Linear equations can be printed on graph paper and appear as a straight line in mathematics

Coordinate geometry is the branch of mathematics that deals with graphs.

As a result, the equation for a line parallel to the x-axis is: y = k.

Where "k" is a fixed number.

The generalised version of a line equation parallel to the x-axis is the above equation.

"k" is likewise a real number, and it is the distance between the x-axis and the line y=k.

Here, given that line which is parallel to x-axis 5 units down therefore, the value of k is negative.

$$\begin{gathered} \Rightarrow y=k \\ \Rightarrow y=-5 \\ \Rightarrow y+5=0 \end{gathered}$$