Answer:
The slope is undefined
Step-by-step explanation:
we have that
The equation of the line s is equal to
[tex]x=3[/tex]
This is a vertical line (parallel to the y-axis)
The slope is undefined
Because
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex](3,3)\ (3,-2)[/tex]
Substitute the values
[tex]m=\frac{-2-3}{3-3}[/tex]
[tex]m=\frac{-5}{0}[/tex] ------> is undefined
The point T is (5,-1)
The equation of the line parallel to the line s that passes through the point T, will be a vertical line and the equation is equal to the x-coordinate of point T
therefore
The equation is
[tex]x=5[/tex]
