Answer :

To determine which line is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the negative reciprocal of this slope.

Here's how you can find the slope of a line perpendicular to a given line:

1. Identify the Original Slope: The given slope of the line is [tex]\(-\frac{5}{6}\)[/tex].

2. Find the Negative Reciprocal:
- First, take the reciprocal of the original slope. The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign (negative becomes positive or vice versa) to get the negative reciprocal. So, the negative reciprocal of [tex]\(-\frac{6}{5}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].

So, the slope of the line that is perpendicular to the line with slope [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].

To determine which line (among line JK, line LM, line NO, and line PQ) has a slope of [tex]\(\frac{6}{5}\)[/tex], you would need the equations or specific details of these lines to compare their slopes. The question as stated doesn't provide those details, so it would be necessary to know the slopes of lines JK, LM, NO, and PQ to identify which is perpendicular.

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 JK B line LM 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