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Question
Find the joint equation of the line passing through (1, 2) and parallel to the coordinate axes
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Solution
Equations of the coordinate axes are x = 0 and y = 0
∴ the equations of the lines passing through (1, 2) and parallel to the coordinate axes are x = 1 and y = 2.
i.e. x - 1 = 0 and y - 2 = 0
∴ their combined equation is
(x - 1)(y - 2) = 0
∴ x(y - 2) - 1(y - 2) = 0
∴ xy - 2x - y + 2 = 0
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