Question

Line s and point T are given as graphed.

What is the slope of a line through point T and parallel to line s? Complete your work in the space provided or upload a
file that can display math symbols if your work requires it.

Answer 1

The slope is undefined

Explanation:

we have that

The equation of the line s is equal to

`x=3`

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

`m=(y2-y1)/(x2-x1)`

we have

`(3,3)\ (3,-2)`

Substitute the values

`m=(-2-3)/(3-3)`

`m=(-5)/(0)` ------> 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

`x=5`