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 :
Certainly! To solve this problem, you need to determine which line is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex].
1. Understand Perpendicular Slopes:
- Two lines are perpendicular if the product of their slopes is [tex]\(-1\)[/tex].
- To find the slope of a line perpendicular to a given line, you take the negative reciprocal of the original slope.
2. Calculate the Perpendicular Slope:
- The given slope is [tex]\(-\frac{5}{6}\)[/tex].
- To find the perpendicular slope, calculate the negative reciprocal of this slope:
- First, find the reciprocal of [tex]\(-\frac{5}{6}\)[/tex], which is [tex]\(-\frac{6}{5}\)[/tex].
- Next, change the sign to make it negative or positive (since the original is negative):
[tex]\[
\text{Perpendicular slope} = \frac{6}{5} \approx 1.2
\][/tex]
3. Conclusion:
- A line with a slope of [tex]\(1.2\)[/tex] is perpendicular to the line with the original slope of [tex]\(-\frac{5}{6}\)[/tex].
- Among the options given (line JK, line LM, line NO, line PQ), the correct choice would be the one that has this slope of [tex]\(1.2\)[/tex].
Remember: the key to finding a perpendicular line is focusing on the negative reciprocal of the slope.
1. Understand Perpendicular Slopes:
- Two lines are perpendicular if the product of their slopes is [tex]\(-1\)[/tex].
- To find the slope of a line perpendicular to a given line, you take the negative reciprocal of the original slope.
2. Calculate the Perpendicular Slope:
- The given slope is [tex]\(-\frac{5}{6}\)[/tex].
- To find the perpendicular slope, calculate the negative reciprocal of this slope:
- First, find the reciprocal of [tex]\(-\frac{5}{6}\)[/tex], which is [tex]\(-\frac{6}{5}\)[/tex].
- Next, change the sign to make it negative or positive (since the original is negative):
[tex]\[
\text{Perpendicular slope} = \frac{6}{5} \approx 1.2
\][/tex]
3. Conclusion:
- A line with a slope of [tex]\(1.2\)[/tex] is perpendicular to the line with the original slope of [tex]\(-\frac{5}{6}\)[/tex].
- Among the options given (line JK, line LM, line NO, line PQ), the correct choice would be the one that has this slope of [tex]\(1.2\)[/tex].
Remember: the key to finding a perpendicular line is focusing on the negative reciprocal of the 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
