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Question

Question: How do you graph \[x = 2\] by plotting points?...

How do you graph x=2x = 2 by plotting points?

Explanation

Solution

To solve this question first we have to show that this equation is independent of two variables that are x and yy. Then we assume some points and tell them that on joining these points we get a graph of the given equation. and we have to explain how we make graphs in 2-D, not in 3-D.

Complete step-by-step answer:
We have given an equation x=2x = 2.
We are told how we draw the graph of the equation x=2x = 2.
For making the graph we have to find some points and then join them.
x=2x = 2 is the given equation which is free from the variable yy and zz.
So if we put any point in place of yy and zz then there is no effect on the x variable.
We have to make a graph in the 2-D plane so we will not put the zz variable and mark some points on x and yy.
So the points are-
(2,8), (2,-1), (2,0) and (2,6)
The graph of the given equation is.

Final answer:
According to the points, the graph of the line x=2x = 2 is a vertical line passing through 2 on the x-axis.

Note: Although this is a very easy question we have to know some points. If we show a variable equal to any constant number on a number line then that is a point. If we show that in a plane then that is a line. And if we show that in 3D view then that is a plane. Minimum two numbers are required to make a line.