Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

There are infinite number of lines that passes through a point.

Equation of 2 lines passing through (2,14) are x + y = 16 and 7x – y = 0 , as points x = 2 and y = 14 satisfy these equations.

There can be infinite lines that can pass through these points.