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Chapter 4: Q. 355 (page 522)

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel.

x=-3;x=-2

Short Answer

Expert verified

The lines are parallel.

Step by step solution

01

Given information

The given equations are shown below:

x=-3x=-2

02

Determine the slope

The slope of a vertical line is undefined.

With a vertical line, this results in a bottom denominator of 0. However, dividing by 0 is something that doesn鈥檛 exist in math. Even though the difference in y-coordinate may change, dividing any number by the change in x-coordinate, 0, will result in an undefined slope.

Both the equation forms vertical line.

Hence,m1=m2=Undefined

03

Write the conclusion

The lines are parallel.

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