Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?
Here, x = 2 and y =14.
Thus, x + y = 1
also, y = 7x ⇒ y - 7x = 0
∴ The equations of two lines passing through (2, 14) are
x + y = 1 and y - 7x = 0.
There will be infinite such lines because infinite number of lines can pass through a given point.