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 with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the slope of the perpendicular line.
1. Understand the Concept:
- Perpendicular lines have slopes that are negative reciprocals of each other. This means that when you multiply the slopes of two perpendicular lines, the product is [tex]\(-1\)[/tex].
2. Calculate the Perpendicular Slope:
- The slope of the given line is [tex]\(-\frac{5}{6}\)[/tex].
- To find the perpendicular slope, take the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex].
- The negative reciprocal is calculated by flipping the fraction and changing the sign.
So, flip [tex]\(-\frac{5}{6}\)[/tex] to get [tex]\(-\frac{6}{5}\)[/tex], and then change the sign to get [tex]\(\frac{6}{5}\)[/tex].
3. Result:
- The slope of the line that is perpendicular to the one with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(1.2\)[/tex] (or [tex]\( \frac{6}{5} \)[/tex]).
4. Conclusion:
- Use this slope to identify which line matches in the context of the question. For the options provided, you'll need additional information typically given as equations or coordinates to verify which line matches this condition.
1. Understand the Concept:
- Perpendicular lines have slopes that are negative reciprocals of each other. This means that when you multiply the slopes of two perpendicular lines, the product is [tex]\(-1\)[/tex].
2. Calculate the Perpendicular Slope:
- The slope of the given line is [tex]\(-\frac{5}{6}\)[/tex].
- To find the perpendicular slope, take the negative reciprocal of [tex]\(-\frac{5}{6}\)[/tex].
- The negative reciprocal is calculated by flipping the fraction and changing the sign.
So, flip [tex]\(-\frac{5}{6}\)[/tex] to get [tex]\(-\frac{6}{5}\)[/tex], and then change the sign to get [tex]\(\frac{6}{5}\)[/tex].
3. Result:
- The slope of the line that is perpendicular to the one with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(1.2\)[/tex] (or [tex]\( \frac{6}{5} \)[/tex]).
4. Conclusion:
- Use this slope to identify which line matches in the context of the question. For the options provided, you'll need additional information typically given as equations or coordinates to verify which line matches this condition.
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
