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Writing Equations of Parallel Lines

Writing Equations of Parallel Lines 1.11 - Solution

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Two graph the lines, we'll start by writing their equations. Let's recall the slope-intercept form of a line. Since the lines are parallel, they will have the same slope and we know that it should be between and For example, we can let be In the above formula, represents the intercept. We know that the difference between them should be Thus, we can choose and since The above lines have the same slope, and their intercepts are and We can use this information to graph them in a coordinate plane.

Note that there are infinitely many solutions for this exercise. We are showing one of them.