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Maths Exercices

Slope of parallel and perpendicular lines

Parallel lines have the same slope.
Perpendicular lines have slopes that are opposite reciprocals, like and . The slopes also have a product of -1.

Line t has a slope of . Line u has a slope of . Are line t and line u parallel or perpendicular?

The lines are not parallel because and are not equal.

The lines are perpendicular because and are opposite reciprocal:

Take the slope of line t
Find the reciprocal
Find the opposite

Yes, and are opposite reciprocals.

So, the lines are perpendicular.

Line f has a slope of . Line p has a slope of . Are line f and p parallel or perpendicular?
parallel
perpendicular
neither