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 calculate the perpendicular slope.
The slope of a line that is perpendicular to another line is found by taking the negative reciprocal of the original line's slope. Here's how you can do that:
1. Start with the original slope, which is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the reciprocal of this slope. The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
3. Take the negative of this reciprocal. Since the original slope is negative, the negative reciprocal will be positive. Therefore, the perpendicular slope is [tex]\(\frac{6}{5}\)[/tex].
Now, let's express [tex]\(\frac{6}{5}\)[/tex] as a decimal to compare more easily:
[tex]\[
\frac{6}{5} = 1.2
\][/tex]
Hence, a line with a slope of 1.2 is perpendicular to the line with a slope of [tex]\(-\frac{5}{6}\)[/tex]. To answer the question, you would select the line (e.g., line LM, line NO, etc.) that has a slope of 1.2 from the given options.
The slope of a line that is perpendicular to another line is found by taking the negative reciprocal of the original line's slope. Here's how you can do that:
1. Start with the original slope, which is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the reciprocal of this slope. The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
3. Take the negative of this reciprocal. Since the original slope is negative, the negative reciprocal will be positive. Therefore, the perpendicular slope is [tex]\(\frac{6}{5}\)[/tex].
Now, let's express [tex]\(\frac{6}{5}\)[/tex] as a decimal to compare more easily:
[tex]\[
\frac{6}{5} = 1.2
\][/tex]
Hence, a line with a slope of 1.2 is perpendicular to the line with a slope of [tex]\(-\frac{5}{6}\)[/tex]. To answer the question, you would select the line (e.g., line LM, line NO, etc.) that has a slope of 1.2 from the given options.
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
