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If you want to graph parallel lines, they need to have the same slope (Ex. 2x+2 and 2x+3)- parallel lines cannot have the same y-intercept because the two line would be the same.

Perpendicular lines slopes need have to be opposite reciprocals (Ex. -2x+4 and +1/2x+3)- perpendicular lines can have the same y-intercepts, it doesn't make a difference.

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Q: How do you graph parallel and perpendicular lines?
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