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Determine the relationship between AB and CD. Slope of AB is 1/5 and the slope of line CD is -5. So, the slope CD is parallel, perpendicular, or neither?

User Vashawn
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1 Answer

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Final answer:

The product of the slopes of lines AB (with a slope of 1/5) and CD (with a slope of -5) is -1, which means lines AB and CD are perpendicular to each other.

Step-by-step explanation:

To determine the relationship between lines AB and CD based on their slopes, we need to recall some rules about slopes of lines in a coordinate plane. For two lines to be parallel, their slopes must be equal. If two lines are perpendicular, the product of their slopes is -1. This is because perpendicular lines have slopes that are negative reciprocals of each other.

The slope of AB is given as 1/5, and the slope of CD is -5. The product of these slopes is (1/5) * (-5) = -1. Therefore, since the product of the slopes is -1, we can conclude that lines AB and CD are perpendicular to each other.

User Emanuele Mazzoni
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