Answer:
AB: Undefined
CD: 0
Perpendicular
Step-by-step explanation:
Slope is the change in y over the change in x
(sometimes called "rise over run")
Formula looks like this:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
First let's find the slope of AB
[tex]\frac{7-3}{-5 --5 }[/tex]
[tex]\frac{7-3}{-5 +5 }[/tex]
[tex]\frac{4}{0}[/tex]
Undefined
Then the slope of CD:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
[tex]\frac{9 -9}{-10 - 1 }[/tex]
[tex]\frac{0}{-11 }[/tex]
0
If they are parallel they will have the same slope, perpendicular lines have negative reciprocals as the slope, and neither is neither
Comparing the slope of our lines lead us to know that the two lines are perpendicular because AB is vertically up + down and CD is horizontally right + left
I hope this is correct and helps, have a nice day :D
See attached file for a photo example :)
