Question:
Give the equations of two lines passing through (3, 12). How many more such lines are there, and why?
Solution:
We observe that x = 3 and y = 12 is the solution of the following equations 4x – y = 0 and 3x – y + 3 = 0
So, we get the equations of two lines passing through (3, 12) are, 4x - y = 0 and 3x - y + 3 = 0.
We know that passing through the given point infinitely many lines can be drawn. So, there are infinitely many lines passing through (3, 12)