points (1,3) and (5,3) lie on line r. what is the slope of the line that is parallel to r?

First we must find out the slope of the points
The equation for slope is
[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Let's plug in our points
[tex]\frac{3 - 3 }{5 -1 } = \frac{0}{4}[/tex]
Our slope is 0
When lines are parallel, that means we have they have the same slope
So a line that is parallel to r would have a slope of 0!