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 find the line that is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to determine the slope of the perpendicular line.
1. Understand the Concept of Perpendicular Slopes:
When two lines are perpendicular, the product of their slopes is [tex]\(-1\)[/tex].
2. Find the Perpendicular Slope:
- The slope of the original line is [tex]\(-\frac{5}{6}\)[/tex].
- For a line to be perpendicular, its slope must be the negative reciprocal of the original slope.
3. Calculate the Negative Reciprocal:
- The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
- Change the sign (since it needs to be the negative reciprocal), which gives us the perpendicular slope as [tex]\(\frac{6}{5}\)[/tex].
Therefore, a line that is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex] must have a slope of [tex]\(\frac{6}{5}\)[/tex]. Since the question doesn't provide specific slope values for lines JK, LM, NO, and PQ, you would choose the line from your specific context that has this slope.
1. Understand the Concept of Perpendicular Slopes:
When two lines are perpendicular, the product of their slopes is [tex]\(-1\)[/tex].
2. Find the Perpendicular Slope:
- The slope of the original line is [tex]\(-\frac{5}{6}\)[/tex].
- For a line to be perpendicular, its slope must be the negative reciprocal of the original slope.
3. Calculate the Negative Reciprocal:
- The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
- Change the sign (since it needs to be the negative reciprocal), which gives us the perpendicular slope as [tex]\(\frac{6}{5}\)[/tex].
Therefore, a line that is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex] must have a slope of [tex]\(\frac{6}{5}\)[/tex]. Since the question doesn't provide specific slope values for lines JK, LM, NO, and PQ, you would choose the line from your specific context that has this slope.
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
