Question

What is the slope of a line that is parallel to a line with slope of m=-6/5.What is the slope of the line that is perpendicular to a line with a slope of m=6/5.Explain how you know

Answer 1

a) m = -6/5

b) m = -5/6

Explanation:

The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.

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The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.