Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![**Question:**
If the equation of a line is \( y = 2x + 3 \), what is the slope of a line that is perpendicular to that line?
\( m = \)
---
**Explanation:**
For a line to be perpendicular to another, the product of their slopes must be \(-1\). Given the equation \( y = 2x + 3 \), the slope of the line (\( m \)) is 2.
To find the slope of a line that is perpendicular, use the negative reciprocal of 2:
\[ m = -\frac{1}{2} \]
Therefore, the slope of the perpendicular line is \( m = -\frac{1}{2} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F716b07bd-8c61-4cea-9832-6f6fb0ec5c5a%2F5ae76185-5dfa-48ba-b80c-054fb3455161%2Fpzjl2ph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
If the equation of a line is \( y = 2x + 3 \), what is the slope of a line that is perpendicular to that line?
\( m = \)
---
**Explanation:**
For a line to be perpendicular to another, the product of their slopes must be \(-1\). Given the equation \( y = 2x + 3 \), the slope of the line (\( m \)) is 2.
To find the slope of a line that is perpendicular, use the negative reciprocal of 2:
\[ m = -\frac{1}{2} \]
Therefore, the slope of the perpendicular line is \( m = -\frac{1}{2} \).
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