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. Analyze Relationships Two lines pass through the origin. The lines have slopes that are opposites. Compare and contrast the lines.

. Analyze Relationships Two lines pass through the origin. The lines have slopes that are opposites. Compare and contrast the lines.

Elementary Geometry For College Students, 7e
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
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**Communicate Mathematics** - Explain the slope of a line. Ben chose two points on the line to find the slope. Phoebe used two different points to find the slope. Did they get the same answer? Explain. **Analyze Relationships** - Two lines pass through the origin. The lines have slopes that are opposites. Compare and contrast the lines. **Instructor's Notes:** - When analyzing the lines that pass through the origin with opposite slopes, remember that if line 1 has a slope of \( m \), line 2 will have a slope of \( -m \). - Consider how the orientation of the lines in the coordinate plane differs due to their opposite slopes. - Use diagrams or graphs to visually represent the lines and observe their symmetrical arrangement relative to each axis. (There are no graphs or diagrams present in this image.)
Transcribed Image Text:**Communicate Mathematics** - Explain the slope of a line. Ben chose two points on the line to find the slope. Phoebe used two different points to find the slope. Did they get the same answer? Explain. **Analyze Relationships** - Two lines pass through the origin. The lines have slopes that are opposites. Compare and contrast the lines. **Instructor's Notes:** - When analyzing the lines that pass through the origin with opposite slopes, remember that if line 1 has a slope of \( m \), line 2 will have a slope of \( -m \). - Consider how the orientation of the lines in the coordinate plane differs due to their opposite slopes. - Use diagrams or graphs to visually represent the lines and observe their symmetrical arrangement relative to each axis. (There are no graphs or diagrams present in this image.)
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