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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Fill in the blanks.

6. If L1 and L2 are nonvertical lines with slopes m1 and m2, respectively, then L1 is parallel to L2 if and only if _________ and L1 is perpendicular to L2 if and only if ________.

To determine

To fill: The condition on slope of line when the two non vertical lines are perpendicular and parallel.

Explanation

Figure (1)

Figure (1) shows the slope of two lines which are parallel to each other.

Lines are parallel when their slopes are equal and y Intercepts are different.

Figure (2)

Figure (2) shows the slope of two lines which are perpendicular to each other.

Lines are perpendicular when slopes are negative reciprocal to equal each

Hence, if L1andL2 are two non vertical lines with slopes

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