Two intersecting lines have zero, an infinite number, two, or one of the same points in common?

If two lines intersect, then there are two possibilities

A) The lines intersect at exactly one point. This happens if the slopes of the two lines are different (the y intercepts may or may not be the same).

B) The lines intersect at infinitely many points. This happens when both slopes are the same and when both y intercepts are the same. In short, the two equations are identical. Often they may be written in different forms. For example, the equation y = 2x+1 and 2y = 4x+2 are the same equation. Divide everything in equation (2) by 2 and you'll get equation (1).

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step-by-step explanation: