We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine which line is perpendicular to a line that has a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the slope of the perpendicular line.
Here's how you can do it:
1. Understand Perpendicular Slopes: Two lines are perpendicular if the product of their slopes is [tex]\(-1\)[/tex]. This means if you have the slope of one line, the slope of the line perpendicular to it is the negative reciprocal.
2. Find the Negative Reciprocal: The given line has a slope of [tex]\(-\frac{5}{6}\)[/tex].
- The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign: the negative reciprocal is [tex]\(\frac{6}{5}\)[/tex].
3. Use the Negative Reciprocal to Identify the Perpendicular Line: We now know that the slope of the line perpendicular to the original line (with slope [tex]\(-\frac{5}{6}\)[/tex]) is [tex]\(\frac{6}{5}\)[/tex].
4. Check the Options: Without specific slopes provided for lines JK, LM, NO, and PQ, we identify the line whose slope is [tex]\(\frac{6}{5}\)[/tex]. In a typical question, it would involve checking each line's slope to find which one matches [tex]\(\frac{6}{5}\)[/tex].
In conclusion, the line that has a slope of [tex]\(\frac{6}{5}\)[/tex] is the one perpendicular to the given line with slope [tex]\(-\frac{5}{6}\)[/tex].
Here's how you can do it:
1. Understand Perpendicular Slopes: Two lines are perpendicular if the product of their slopes is [tex]\(-1\)[/tex]. This means if you have the slope of one line, the slope of the line perpendicular to it is the negative reciprocal.
2. Find the Negative Reciprocal: The given line has a slope of [tex]\(-\frac{5}{6}\)[/tex].
- The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign: the negative reciprocal is [tex]\(\frac{6}{5}\)[/tex].
3. Use the Negative Reciprocal to Identify the Perpendicular Line: We now know that the slope of the line perpendicular to the original line (with slope [tex]\(-\frac{5}{6}\)[/tex]) is [tex]\(\frac{6}{5}\)[/tex].
4. Check the Options: Without specific slopes provided for lines JK, LM, NO, and PQ, we identify the line whose slope is [tex]\(\frac{6}{5}\)[/tex]. In a typical question, it would involve checking each line's slope to find which one matches [tex]\(\frac{6}{5}\)[/tex].
In conclusion, the line that has a slope of [tex]\(\frac{6}{5}\)[/tex] is the one perpendicular to the given line with slope [tex]\(-\frac{5}{6}\)[/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 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
