Question

show that two non vertical lines are parallel if and only if their slopes are equal

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Answer 1

If 2 lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

If two distinct lines are parallel, the slopes of the lines are equal.

Vertical lines will not be considered since their undefined slopes cannot be equal.

... For line p, y = m1x + b1, and for line q, y = m2x + b2.

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