Slope Formula (Between 2 points)
[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Let these be the following:
[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]
Substitute these points in.
[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]
Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.
Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.
The line has to be vertical since a x-value can export many y-values.
Hence, the equation of a line would be x = 8
