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Writing Equations of Parallel Lines

Writing Equations of Parallel Lines 1.4 - Solution

arrow_back Return to Writing Equations of Parallel Lines

Two lines are parallel if their slopes are identical. Thus, we should find the slopes of the lines using the slope formula. If we start with line we identify two points on the line.

Note that when choosing points to substitute for and it doesn't matter which points on the line you choose, since the result will be the same. Now, we substitute the points into the slope formula.
Evaluate right-hand side
The slope of line is We will use the same method to identify the slopes of lines and

The points are now used in the slope formula.

Line Points Slope
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&

Now that we've identified the slope of each line, we can see that and have the same slope, so they are parallel.