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Question
Find the combined equation of the following pair of lines passing through point (2, 3) 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 (2, 3) and parallel to the coordinate axes are x = 2 and y = 3.
i.e. x − 2 = 0 and y − 3 = 0
∴ Their combined equation of these lines is
(x − 2)(y − 3) = 0
i.e., xy − 3x − 2y + 6 = 0
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