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Chapter 4: Q. 4.105 (page 514)

Use slopes and y-intercepts to determine if the lines x=1 andx=鈭�5 are parallel.

Short Answer

Expert verified

The given lines are vertical lines with different x-intercepts, so the lines are parallel.

Step by step solution

01

Step 1. Given information.

The given equations are:
x=1x=-5

02

Step 2. Determine whether lines are parallel or not.

In the given equations, there is no y. So, the given equations cannot be put in slope-intercept form.

The equations are recognized as equations of vertical lines. Their x-intercepts are 1and -5.

Since theirx-intercepts are different, the vertical lines are parallel.

03

Step 3. Conclusion.

The given lines are vertical lines with different x-intercepts, so the lines are parallel.

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