Answer:
x = 4
Step-by-step explanation:
If you were to plot the given points, you would quickly see that this is a vertical line where x = 4 (a visual is always a good place to start).
Vertical lines have a slope that is undefined and are written in the form of x = .
If you had plugged into the slope formula [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex] , where ([tex]x_{1}, y_{1}[/tex]) is (4, 8) and ([tex]x_{2}, y_{2}[/tex]) is (4,6) the result would be as follows:
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
= [tex]\frac{6 - 8}{4 - 4}[/tex]
= [tex]\frac{-2}{0}[/tex]
Because you can not divide by 0, the slope is in fact undefined.
