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, because their slopes are negative reciprocals ()

Step-by-step explanation:

The missing graph is attached.

You need to remember that the slope of a line can be found with the following formula:

First, find the slope of the line AB. The steps are:

- Choose two points on the line. These can be:

You can say that:

Substituting values into the formula and evaluating, you get that the slope of this line is:

Now you must find the slope of the line CD. The steps are shown below:

- Choose two points on the line. These can be:

- You can say that:

- Now you must substitute values into the formula and evaluate, in order to find the slope. This is:

By definition, the slopes of perpendicular lines are negative reciprocals.

Therefore, since the slopes of the lines AB and CD are negative reciprocals, you can conclude that they are perpendicular.

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