Question

Which line is perpendicular to a line that has a slope

of - 1/3
line MN
line AB
line EF
line JK

Answer 1

Answer: C. Line EF.

Step-by-step explanation: Correct on edge.

Answer 2

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1, that is:

`m_ {1} * m_ {2} = - 1`

So, if we have the slope
`m_ {1} = - \frac {1} {3}`

A perpendicular line will have a slope m_ {2}:

`m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3`

Thus, the perpendicular line will have slope
`m_ {2} = 3`

Answer:

The perpendicular line will have slope
`m_ {2} = 3`