Write an equation representing a pair of lines through the point (a, b) and parallel to the coordinates axes.
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