Answer:
x = 5
Explanation:
A vertical line has an undefined slope because according to the definition
[tex]m=\frac{\text{rise}}{\text{run}}[/tex]Any two points chosen on the line have the same x-coordinate but different y-coordinates; therefore,
[tex]m=\frac{y_1-y_2}{x-x}_{}=\frac{y_1-y_2}{0}_{}[/tex]Since there is a zero in the denominator, the slope is undefined.
The vertical line passes through only one value of x; therefore, the equation can be written as
[tex]x=a[/tex]where a is any number.
Now in our case, our line passes through x = 5; therefore, the equation of the vertical line is
[tex]x=5.[/tex]The graph of the equation is given below.