Are the graph y=5x+5 and y=10x+5 perpendicular?

1 Answer
Apr 17, 2016

No

Explanation:

Perpendicular lines have a slope that is the opposite (or negative) reciprocal of the other. For example the perpendicular line of y = 2x would be y = -1/2x.

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I have graphed y = 2x and y = -1/2x. These two lines are perpendicular to each other.

In this case, it's basically that if you multiply 5 by 2, then you would get 10 (which is the second equation's slope). Desmos Graphing CalculatorDesmos Graphing Calculator

Notice the lines are not perpendicular. Instead they intersect at the point (0,5)