Question

How do you graph \[x = 6\] by plotting points?

Answer 1

Hint:Here, the value of \[x\] is constant so we will take any arbitrary value of \[y\] and find the coordinate points. Then we will plot \[x\] and\[y\] points as a coordinate pair in the x-y axis and finally, we will connect all the points to get the required graph.

Complete step-by-step answer:
As given to us we have to plot the\[x = 6\] graph.
So the value of \[x\] is 6 and is constant.
Next, we will take random arbitrary points for \[y\] as for any value of \[y\],\[x\] will be constant. So,
\[y \in \left( { - 4, - 3, - 2, - 1,0,1,2,3,4} \right)\]
Now, we will write the coordinate pair of the points as

\[x\]	\[6\]	\[6\]	\[6\]	\[6\]	\[6\]	\[6\]	\[6\]	\[6\]	\[6\]
\[y\]	\[ - 5\]	\[ - 4\]	\[ - 3\]	\[ - 2\]	\[ - 1\]	\[0\]	\[1\]	\[2\]	\[3\]

So, we get the coordinate points from above and now we will plot the points in the \[x - y\] axis.

Therefore, we get the graph of \[x = 6\] as a straight line vertical to the \[y\]-axis. This is because the value of \[x\] is constant for any value of \[y\].

Note: Graphs are used to represent data or show values in an organized manner by pictorial representation or by a diagram. The points on the graph represent the relationship between one or more things. A graph consists of two-axis i.e.\[x\] axis and \[y\] axis which are extended to the positive and negative axis. The point at which these two intersect is known as the origin. There are many types of graphs and some of them are Line graphs, bar graphs, histograms and pie charts, etc. When two variables are given to us in any equation we form the points which satisfy the equation and they are plotted in the x-y axis to get a graph.