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5.5 Parallel Lines (Sample Questions)

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Example 1:

















The straight lines MN and PQ in the diagram above are parallel. Find the value of q.

Solution:
If two lines are parallel, their gradients are equal.
m1 = m2
mMN = mPQ

using gradient formula y 2 − y 1 x 2 − x 1 9 − 4 5 − ( − 1 ) = q − ( − 5 ) 5 − ( − 7 ) 5 6 = q + 5 12
60 = 6q + 30
6q = 30
q = 5