Both sides of an equation have linear expressions. The graph of one line has a positive slope. The graph of the other line has a negative slope. What are the possible number of intersections for this system? \( 0 \quad 0 \) \( \square 1 \) \( \square \) infinite Domer
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Extra Insights
When you have two linear equations where one line has a positive slope and the other has a negative slope, they will always intersect at exactly one point. This is because one line is consistently rising while the other is consistently falling, creating a scenario where they must cross each other at some x-value. If you were to graph these lines, you’d see that they form an "X" shape. This is a beautiful visual representation of how solutions can exist in a simple linear system! So, the answer to your question regarding the possible number of intersections is definitely 1.
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