We are looking for a line with an equation,
[tex]y=mx+n[/tex].
Where m is slope and n y-intercept.
Start by calculating the slope if we know [tex](x_1,y_1)=(2,-7)[/tex] and [tex](x_2,y_2)=(2,-2)[/tex],
[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-7)}{(2-2)^{+,-})}=\pm\infty[/tex].
This means the slope is infinite and the line will appear to be vertical line parralel to y-axis intercepting x-axis at 2.
The equation of such line is [tex]x=2[/tex].
Hope this helps.
