Question

How would you graph the line $x=-8$?

Answer 1

Hint: This question belongs to the topic of graphs of linear equations. According to the question, we can say that at any value of y, the value of x will always be -8 in the graph. We will solve this equation using slope-intercept form. The general equation of slope-intercept form is \[\dfrac{x}{a}+\dfrac{y}{b}=1\]. After using this form, we will solve this question. After that, we will see an alternate method to solve this question.

Complete step by step answer:
Let us solve this question.
This question has asked us to graph a line x=-8. That means we have to draw graph from the given equation x=-8.
Let us draw the graph of x=-8 using slope-intercept form.
The general equation of slope-intercept form is \[\dfrac{x}{a}+\dfrac{y}{b}=1\], where a is x-intercept and b is y-intercept. That means the graph meets the x-axis at a and y-axis at b.
Now, we convert the equation x=-8 in the slope intercept form.
So, the equation from which we have to find the graph is
\[x=-8\]
The above equation can also be written as
\[\Rightarrow \dfrac{x}{-8}=1\]
As we know that, \[\dfrac{1}{\infty }=0\]
So, we can write the above equation can as
\[\Rightarrow \dfrac{x}{-8}+\dfrac{y}{\infty }=1\]
According to slope-intercept form, the graph will meet the x-axis at -8 and y-axis at infinity. The graph will meet y-axis at infinity that means it will never cut, meet or touch the y-axis.
So, from here we can draw the graph. The graph is shown below.

Note: For solving this type of question, we should know how to draw graph from given equations.
We can solve this question by an alternate method.
If in the question, it asked to find the graph of line x=C or y=C, where C is any constant.
For the case of x=C:
In the graph having x and y as coordinate axes, we will draw a line parallel to y-axis and the line should be crossing through point C in the x-axis.
For the case of y=C:
In the graph having x and y as coordinate axes, we will draw a line parallel to x-axis and the line should be crossing through point C in the y-axis.
So, in this question we are having the case of x=C that is x=-8.
So, we will draw the graph of x=-8 which is parallel to y-axis and the graph of line will meet x-axis at -8.
The graph will be