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Question:

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

Solution:

Since the given point is (2,14) ∴ x=2 and y=14
Then, one equation is x+y=2+14=16 x+y=16
And, second equation is x-y=2-14=-12 x-y=-12
And, a third equation is y=7x 7x-y=0
So, we can find infinite equations because through one point infinite lines can pass.