Answer:
Equation of the line: x = 2
Step-by-step explanation:
Given the point, (2, 5), and an undefined slope (m ):
A vertical line has an undefined slope, as it does not have any horizontal change.
In other words, the slope formula will be:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}\:=\:\frac{(y_2\: -\: y_1)}{0}}}[/tex]
A division by zero makes the equation an undefined operation, therefore, we cannot express the line in slope-intercept form.
However, we could use the standard equation of a vertical line, x = a, where a represents the x-intercept.
Therefore, the equation of the line is x = 2, which represents a vertical line.
