Answer:
x = 1
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1, 5) and (1, -3).
Substitute:
[tex]m=\dfrav{-3-5}{1-1}=\dfrac{-8}{0}\ \bold{!}[/tex]
Dividing by zero is not possible.
The slope does not exist.
Conclusion: this is a vertical line with the equation x = a
From the points
(1, 5) → x = 1, y = 5
(1, -3) → x = 1, y = -3
we have the equation x = 1.
