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:
$$\begin{gathered} x-4=0 \\ x=0+4 \\ x=4 \end{gathered}$$
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.