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Chapter 1: Q. 7 (page 40)

Two nonvertical lines have slopes m1and m2,respectively. The lines are parallel if ______ and the ______ are unequal; the lines are perpendicular if ______.

Short Answer

Expert verified

Two nonvertical lines have slopes m1and m2, respectively. The lines are parallel if m1=m2and the y-intercept; the lines are perpendicular ifm1=-1m2.

Step by step solution

01

Step 1. Given information.

We have:

Two nonvertical lines have slopes m1andm2 , respectively. The lines are parallel if ______ and the ______ are unequal; the lines are perpendicular if ______.

02

Step 2. Fill the blank. 

As we know that parallel lines are two straight lines that never touch.

Therefore, parallel lines have the same slope, but different y-intercepts.

Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.

Therefore, the statement is "Two nonvertical lines have slopesm1andm2, respectively. The lines are parallel ifm1=m2and they-intercept; the lines are perpendicular ifm1=-1m2.

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