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


It can be observed that point $(2,14)$ satisfies the equation $7 x-y=0$ and


Therefore, $7 x-y=0$ and $x-y+12=0$ are two lines passing through point $(2,14)$.

As it is known that through one point, infinite number of lines can pass through, therefore, there are infinite lines of such type passing through the given point.

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