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Writing Equations of Parallel Lines

Writing Equations of Parallel Lines 1.8 - Solution

arrow_back Return to Writing Equations of Parallel Lines

If two lines are parallel they must have the same slope. We can read the -value if we rewrite the equations in slope-intercept form.

Line 1

Write in slope-intercept form
The -value is .

Line 2

Write in slope-intercept form
Line has a -value of .

Line 3

Write in slope-intercept form
Line , then, has the slope .

Conclusion

Comparing the slope of the lines, we see that line and line have the same slope. Because these lines also have different -values ( and ) they do not coincide. Line and line , are then, parallel.