Given the lines AB and CD, what conclusion can be made about the relationship of the lines? Be sure to include, in complete sentences, how the conclusion can be made. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

They are perpendicular lines AB ⊥ CD ,

because the multiplying of their slopes = -1

Step-by-step explanation:

The rest of the question is the attached figure.

At first you should know that:

The slope of the line ⇒

The slope of the line AB:

The coordinates of A= (0,-1) and B= (5,3)

∴ The slope of the line AB= m₁  

The slope of the line CD:

The coordinates of C = (2,3) and D = (6,-2)

∴ The slope of the line CD= m₂ =

Multiplying m₁ and m₂ =

By definition, the multiplying of slopes of perpendicular lines = -1

So, The lines are perpendicular because the multiplying of their slopes = -1

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality