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Horizontal lines have a slope of zero, and the slope of vertical lines is undefined.

Parallel lines have equal slopes, and perpendicular lines have slopes that are negative reciprocals of each other.

So we can say that:

Two nonvertical lines are parallel if and only if they have the same slope.

Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. That is, if the slopes are m1 and m2, then:

m1 = - 1/m2 or (m1)(m2) = -1

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Q: What is the definition of a slope of parallel lines?
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Related questions

What is the slope of a line parallel to a line with slope -2?

For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.


Why are all horizontal lines parallel?

By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line.


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I don't exactly understand what you are trying to say in this question. However, one thing I can tell you about the slope of parallel lines is that they are equal. Parallel lines must have the same slope.


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If two lines are parallel and one has a slope of 1.3, what is the slope of the other line?


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