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 solve the problem of finding 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.
Here's how we can achieve that:
1. Identify the Original Slope: We start with the slope of the given line, which is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the Perpendicular Slope: The slope of a line that is perpendicular to another line is the negative reciprocal of the original line's slope.
- Negative Reciprocal: To find the negative reciprocal, you take the following steps:
- First, find the reciprocal of the slope. The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign to find the negative reciprocal. The negative of [tex]\(-\frac{6}{5}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
3. Convert the Slope to a Decimal: The slope [tex]\(\frac{6}{5}\)[/tex] can be converted to a decimal form by dividing 6 by 5, which gives us 1.2.
Therefore, the slope of a line that is perpendicular to the line with a slope of [tex]\(-\frac{5}{6}\)[/tex] is 1.2.
Without knowing which specific line (JK, LM, NO, PQ) matches this slope, you would need additional information about the slopes of those lines to identify the correct one. However, if you know one of these lines has a slope of 1.2, that would be the line perpendicular to the original line.
Here's how we can achieve that:
1. Identify the Original Slope: We start with the slope of the given line, which is [tex]\(-\frac{5}{6}\)[/tex].
2. Find the Perpendicular Slope: The slope of a line that is perpendicular to another line is the negative reciprocal of the original line's slope.
- Negative Reciprocal: To find the negative reciprocal, you take the following steps:
- First, find the reciprocal of the slope. The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign to find the negative reciprocal. The negative of [tex]\(-\frac{6}{5}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
3. Convert the Slope to a Decimal: The slope [tex]\(\frac{6}{5}\)[/tex] can be converted to a decimal form by dividing 6 by 5, which gives us 1.2.
Therefore, the slope of a line that is perpendicular to the line with a slope of [tex]\(-\frac{5}{6}\)[/tex] is 1.2.
Without knowing which specific line (JK, LM, NO, PQ) matches this slope, you would need additional information about the slopes of those lines to identify the correct one. However, if you know one of these lines has a slope of 1.2, that would be the line perpendicular to the original line.
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
