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

Here, (2, 14) is a solution of a linear equation.

One example of such a linear equation is y = 6x + 2 and another is x + y = 16.

There are infinitely many lines because there are infinitely many linear equations which are satisfied by the coordinates of the point (2, 14).