For this case we must find the equation of the line that passes through the following points:
[tex](x_ {1}, y_ {1}) :( 5,2)\\(x_{2}, y_{2}); (5,12)[/tex]
By definition, the equation of a line in the slope-intersection form is:
[tex]y = mx + b[/tex]
Where:
m: It is the slope
b: It is the cut point with the y axis
We find the slope:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {12-2} {5-5} = \frac {10} {0}[/tex]
Thus, the slope is undefined, therefore the line is vertical:
[tex]x = 5[/tex]
Answer:
[tex]x = 5[/tex]
