Question

Which line is perpendicular to a line that has a slope of Negative five-sixths?

Answer 1

line LM

Explanation:

Answer 2

Explanation:

the original slope is:

`m_1=-(5)/(6)`

Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is
`-(5)/(6)`, so the reciprocal value is:

`m_2=-(1)/(m1)=(6)/(5)`

hence all the lines that have slope iqual to 6/5 are perpendicular to the original line. There are infinite lines. the general equation of those lines are:

`y=(5)/(6)x+b,~ b\in R`