Question

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

Answer 1

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