SOLUTION: If two lines have different slopes and the same y-intercepts, how many points of intersection are there?

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Question 207926: If two lines have different slopes and the same y-intercepts, how many points of intersection are there?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
always two line will intersect only once.
if they have the same y intercepts then that is their point of intersection.
example:
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y = -2x + 3
y = 1/2x + 3
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these lines are perpendicular because their slopes are negative reciprocals of each other.
as can be seen on the graph, their only point of intersection is at the y intercept.
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graph%28600%2C600%2C-5%2C5%2C-5%2C5%2C-2x%2B3%2C%281%2F2%29x%2B3%29