Answer
339.9k+ views
Hint: We will draw a graph with x and y axes. Plot all the points from $0$ at intervals of $1cm$ which is the standard procedure on both the axes. Label all the axes and points. Both the axes are symmetrical in nature. Then we draw lines parallel to the x-axis at $5$ units’ distance.
Complete step-by-step solution:
Note: Whenever we are asked to find the number of lines parallel to any axis, the answer will always be $2$ lines at the same distance because both the axes act as a number line which ranges from $[ - \infty ,\infty ]$. So, if we are asked to find the number of lines at a distance of $5$ units parallel to y – axis, then the number of lines will be $2$, as there is one line to the right and one line to the left of y-axis at a distance of $5$ units parallel to y – axis.
Complete step-by-step solution:
First we will draw the x and y axes and label the points with numbers.
![seo images](https://www.vedantu.com/question-sets/a9b46382-7ac0-4e84-a666-756437657a7f3876297557685759425.png)
Now we can plot a line $5$ units parallel to x-axis.
One parallel line will be $5$ units above the x – axis and other parallel line will be $5$ units below the x – axis.
The graph will be as follows:
![seo images](https://www.vedantu.com/question-sets/c151920b-63b8-4e5d-91d7-a6b9bf67c6ac426059524211861764.png)
From the graph, it is clear that there are total $2$ lines parallel to the x-axis at a distance of $5$units.
Therefore, $2$ lines are there which are parallel to the X - axis and have a distance of $5$ units.
Note: Whenever we are asked to find the number of lines parallel to any axis, the answer will always be $2$ lines at the same distance because both the axes act as a number line which ranges from $[ - \infty ,\infty ]$. So, if we are asked to find the number of lines at a distance of $5$ units parallel to y – axis, then the number of lines will be $2$, as there is one line to the right and one line to the left of y-axis at a distance of $5$ units parallel to y – axis.
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