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Chapter 4: Q. 353 (page 522)

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

x=7;x=-8

Short Answer

Expert verified

The lines are parallel.

Step by step solution

01

Given information

The given equations are shown below:

x=7x=-8

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’t 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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Most popular questions from this chapter

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

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