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 formula  y 2 y 1 x 2 x 1 94 5( 1 ) = q( 5 ) 5( 7 ) 5 6 = q+5 12
60 = 6q + 30
6q = 30
q = 5