Answer :

We start with a line that has a slope of
[tex]$$
m = -\frac{5}{6}.
$$[/tex]

A line perpendicular to a given line has a slope that is the negative reciprocal of the given slope. This means that the slope of the perpendicular line, denoted as [tex]\( m_{\perp} \)[/tex], is calculated by

[tex]$$
m_{\perp} = -\frac{1}{m}.
$$[/tex]

Substitute the value of [tex]\( m \)[/tex]:

[tex]$$
m_{\perp} = -\frac{1}{-\frac{5}{6}}.
$$[/tex]

When you simplify this expression, you get

[tex]$$
m_{\perp} = \frac{6}{5},
$$[/tex]

which can also be written as a decimal [tex]\(1.2\)[/tex].

Among the options provided:

- line LM,
- line JK,
- line NO,

the line that has a slope of [tex]\( \frac{6}{5} \)[/tex] is line JK.

Thus, the line perpendicular to the original line is

[tex]$$
\boxed{\text{line JK}}.
$$[/tex]

Thanks for taking the time to read Which line is perpendicular to a line that has a slope of tex frac 5 6 tex A Line LM B Line JK C Line. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada