SOLUTION: Find s if the line joining (2,6) to (s+4,s) is parallel to the line joining (5,3) and (-2,0).

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Question 35651: Find s if the line joining (2,6) to (s+4,s) is parallel to the line joining (5,3) and (-2,0).
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
If the two lines are parallel then their slopes must be equal. Remember that slope = .

If lines are parallel, then .





Since means that , it follows that
means that .



Subtract 3s from each side, and add +42 to each side



To avoid public embarrassment, perhaps I should check this. The two points that were given in terms of s were (2,6) to (s+4,s), which if s = 12, would be (2,6) to (16,12). The slope between these would be . This is the same as the other slope, so it checks.

R^2 at SCC






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