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Consider two lines. Line L1 is defined by 1, and Line L2 is defined by y = 3x y = 2x + 4. A. Without graphing these lines, we can deduce (using our knowledge about the nature of lines in a plane) that Line L1 and Line L2 intersect at exactly one point. With a partner, discuss why this is so. B. How could you find the x-coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the x-coordinate of interest. - C. How could you find the corresponding y- coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the Cartesian

Consider two lines. Line L1 is defined by 1, and Line L2 is defined by y = 3x y = 2x + 4. A. Without graphing these lines, we can deduce (using our knowledge about the nature of lines in a plane) that Line L1 and Line L2 intersect at exactly one point. With a partner, discuss why this is so. B. How could you find the x-coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the x-coordinate of interest. - C. How could you find the corresponding y- coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the Cartesian

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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5. Consider two lines. Line L1 is defined by y = 3x - 1, and Line L2 is defined by y = 2x + 4. A. Without graphing these lines, we can deduce (using our knowledge about the nature of lines in a plane) that Line L1 and Line L2 intersect at exactly one point. With a partner, discuss why this is so. B. How could you find the x-coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the x-coordinate of interest. C. How could you find the corresponding y- coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the Cartesian
Transcribed Image Text:5. Consider two lines. Line L1 is defined by y = 3x - 1, and Line L2 is defined by y = 2x + 4. A. Without graphing these lines, we can deduce (using our knowledge about the nature of lines in a plane) that Line L1 and Line L2 intersect at exactly one point. With a partner, discuss why this is so. B. How could you find the x-coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the x-coordinate of interest. C. How could you find the corresponding y- coordinate of the point of intersection of Lines L1 and L2? Discuss with a partner, and then algebraically deduce the Cartesian
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