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Show that two lines a1 x+b1 y+c1=0 and a...

Show that two lines `a_1 x+b_1 y+c_1=0` and `a_2 x+b_2 y+c_2=0 .` where `b_1, b_2 ne 0` are:
(i) Parallel if `a_1/b_1=a_2/b_2`, and
(ii) Perpendicular if `a_1 a_2+b_1 b_2=0`

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