5.5 Parallel Lines (Sample Questions)


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 formulay2y1x2x1945(1)=q(5)5(7)56=q+512
60 = 6q + 30
6q = 30
q = 5