An interesting discovery

Algebra Level pending

Suppose you join integer two points on either side of the y-axis for \(\ y=x^{2} \), such that the y-axis intercept is 120 and the gradient is an integer.

What are the number of different possibilities for the gradient of the line?

Assumptions and Details:

1) An integer point is a point (x,y) where x and y are both integers.


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