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Question
Find the joint equation of the line passing through (3, 2) and parallel to the lines x = 2 and y = 3.
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Solution
Equations of the lines passing through (3, 2) and parallel to the lines x = 2 and y = 3 are x = 3 and y = 2.
i.e. x - 3 = 0 and y - 2 = 0
∴ their joint equation is
(x - 3)(y - 2) = 0
∴ xy - 2x - 3y + 6 = 0
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