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Consider the line y=3x-1what is the slope of a line parallel to this lineWhat is the slope of a line perpendicular to this line?

User Khaleal
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1 Answer

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28 votes

Consider the line y=3x-1

what is the slope of a line parallel to this line

What is the slope of a line perpendicular to this line?

we know that

If two lines are parallel, then their slopes are equal

so

Part 1) what is the slope of a line parallel to this line

the slope of the given line is m=3

therefore

the slope of the parallel line is m=3

Part 2)

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

the slope of the perpendicular line is m=-1/3

User Murat
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