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Any line that is parallel to another line will have the same slope. So if line AB's slope is zero and line CD is parallel to AB, then its slope will also be zero. The slope of line CD, when perpendicular to AB, will be infinity. If line AB has a slope of zero that means its just a horizontal line passing some point on the y-axis. A line that is perpendicualr to this one will pass through some point on the x-axis and therefore have an infinite slope.

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Q: Suppose the slope of AB is zero what is the slope of CD given that a. CD is parallel to AB b. CD is perpendicular to AB?
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Related questions

Is an undefined slope and a slope of 0 parallel?

No, they are perpendicular.


What is the parallel slope of 2?

A parallel slope to 2 is 2. A perpendicular slope to 2 is (-1/2).


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The line y = 2x If you put it into the form y = mx + b, you have y = 2x + 0 so the slope is 2. Lines parallel to that line have the same slope, 2. Perpendicular lines have slopes that multiply to -1. The slope of a perpendicular line to a line of slope 2 would be -1/2.


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No but if the two lines are parallel then they will have the same slope.


How can you prove that a constructed line is parallel to a given line Assume that the transversal line is not perpendicular to the other lines?

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Do parallel lines have negative reciprocals?

The slope of parallel lines are the same, but the slope of perpendicular lines are negative reciprocals of each other.


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