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Take the equation of one line, e.g. y = 2x + 2. To intersect this line with any other line, take any point on that line, then find any other line such that the same point also satisfies the second equation.
Example:
Line A: y = 2x + 2
Solve for x = 0 gives y = 2. Thus, (0, 2) is a point on line A. Now find any other line who goes through the same point. For example, 2x - 2. There is an infinite number of solutions to your question.
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