Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y -intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

Each linear expression graphed as y = mx + b forms a straight line. The same y-intercept means both lines pass through the same point on the y-axis, and different slopes mean they are not the same line. Therefore, they intersect exactly once; the correct choice is “one.”

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