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Writing Equations of Parallel Lines

Writing Equations of Parallel Lines 1.5 - Solution

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Two lines are parallel if their slopes are identical. For this exercise, we have been given two points on each line, so we have enough information to calculate their slopes using the slope formula. 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. Let's start with line which passes through and
Evaluate right-hand side
Thus, the slope of line is equal to We will use the same method to calculate the slopes of lines and
Line Points Slope
  &
&

Now that we've identified the slope of each line, we can see that line and have the same slope but not line Therefore, the three lines are not all parallel.