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Parallel and Perpendicular LinesDetermine whether the following lines are parallel, perpendicular, orneither. Write the corresponding letter on the line next to the question.A = parallel, B = perpendicular, or C = neither1. y = }x+6 and y =- *x + 4

User Jeroen Dirks
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1 Answer

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y=(7)/(3)x+6\text{ \& y=-}(3)/(7)x+4

One of the criteria for lines being perpendicular is the fact that the slope of the function in a perpendicular line is the inverse of the slope of the first times -1.

And as you can see m (being the slope of the first equation) is the inverse of the second equiation:


m=(7)/(3),m_1=-(1)/(m)
-(1)/(m)=-(1)/((7)/(3))=-(3)/(7)

Therefore line 1 is perpendicular to line 2.

User Thorsten Lorenz
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