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Can two lines that have the same slope and Y intercept have no solution

User Knalj
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1 Answer

5 votes

Answer:

no (or maybe)

Explanation:

NO:

Two lines with the same slope and y-intercept will be identical lines. Every point that satisfies one equation will also satisfy the other, so there will be an infinite number of solutions. (not no solution)

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MAYBE:

If those two lines are part of a larger system that includes parallel lines (or non-intersecting curves), then that larger system will have no solution.

User MrEs
by
7.8k points

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