Write an equation representing a pair of lines through the point (a, b) and parallel to the coordinates axes.
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Given:
Point (a, b)
To find:
Equation representing a pair of lines through the point (a, b) and parallel to the coordinates axes.
Explanation:
The lines passing through (a, b) and parallel to the x-axis and y-axis are y = b and x = a, respectively. Therefore, their combined equation is given below:
(x – a)(y – b) = 0