Question

How do you graph $x - 4 = 0$?

Answer 1

Hint: Here we are given to plot the graph for the function which is given as $x - 4 = 0$ and therefore let us make this given function as a function where we only variable on one side and constant on other and we will get $x = 4$ and know that it represents the vertical line parallel to $y - {\text{axis}}$ and passing the point $\left( {4,0} \right)$.

Complete step by step solution:
Here we are given the function $x - 4 = 0$ which is only in one variable and therefore we can convert it into the form where we have a variable on one side and the constants on the other side. So we can take $ - 4$ from LHS to RHS and we will get:
$
  x - 4 = 0 \\
  x = 0 + 4 \\
  x = 4 \\
 $
Hence we need to actually plot the graph of $x = 4$
Whenever we have the graph of $x = a$ we just need to draw the vertical line which is passing through the point $a$ on the $x - {\text{axis}}$ and is parallel to $y - {\text{axis}}$.
Hence we will get its graph as a vertical line which is passing through the point $4$ on the $x - {\text{axis}}$ and is parallel to $y - {\text{axis}}$.

Hence here we can see that we have plotted the graph of the line which is given to us as
$x - 4 = 0$

So we can also notice that every point on the plotted line has its abscissa at $4$.

Note:
Similarly when we are given to plot the graph of the line $y = a$ then we need to plot the line which is passing through $\left( {0,a} \right)$ and parallel to $x - {\text{axis}}$ and therefore we must know the procedure to plot such graphs.