Question

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

Answer 1

`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.