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Consider four lines, labeled L1, L2, L3, and L4. The following information is known. o Line L1 goes through the points (-1, 3) and (2,6). o Line L2 goes through the point (-1, 3) and has greater slope than Line L1. o Line L3 goes through the point (-1, 3) and has a lesser slope than Line L1. o Line L4 is perpendicular to Line L2. A. Find the slope of Line L1. Then, using the two given points, express an equation for Line L1 in point-slope form in two distinct ways. Finally, express an equation of Line L1 in slope-intercept form. B. Line L2 goes through exactly one point of the form (a, 6) and exactly one point of the form (2, b). What can be said of the value of a? What can be said of the value of b? Explain. C. Line L3 goes through exactly one point of the form (c, 6) and exactly one point of the form (2, d). What can be said of the value of c? What can be said of the value of d? Explain.

Consider four lines, labeled L1, L2, L3, and L4. The following information is known. o Line L1 goes through the points (-1, 3) and (2,6). o Line L2 goes through the point (-1, 3) and has greater slope than Line L1. o Line L3 goes through the point (-1, 3) and has a lesser slope than Line L1. o Line L4 is perpendicular to Line L2. A. Find the slope of Line L1. Then, using the two given points, express an equation for Line L1 in point-slope form in two distinct ways. Finally, express an equation of Line L1 in slope-intercept form. B. Line L2 goes through exactly one point of the form (a, 6) and exactly one point of the form (2, b). What can be said of the value of a? What can be said of the value of b? Explain. C. Line L3 goes through exactly one point of the form (c, 6) and exactly one point of the form (2, d). What can be said of the value of c? What can be said of the value of d? Explain.

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.
Chapter10: Analytic Geometry
Section10.CR: Review Exercises
Problem 6CR: Find the slope of the line containing each pair of points in Exercise 2. a 2,-3 and 2,5 c -4,1 and...
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1. Consider four lines, labeled L1, L2, L3, and L4. The following information is known. o Line L1 goes through the points (−1, 3) and (2, 6). o Line L2 goes through the point (-1, 3) and has greater slope than Line L1. o Line L3 goes through the point (-1, 3) and has a lesser slope than Line L1. o Line L4 is perpendicular to Line L2. A. Find the slope of Line L1. Then, using the two given points, express an equation for Line L1 in point-slope form in two distinct ways. Finally, express an equation of Line L1 in slope-intercept form. B. Line L2 goes through exactly one point of the form (a, 6) and exactly one point of the form (2, 6). What can be said of the value of a? What can be said of the value of b? Explain. C. Line L3 goes through exactly one point of the form (c, 6) and exactly one point of the form (2, d). What can be said of the value of c? What can be said of the value of d? Explain.
Transcribed Image Text:1. Consider four lines, labeled L1, L2, L3, and L4. The following information is known. o Line L1 goes through the points (−1, 3) and (2, 6). o Line L2 goes through the point (-1, 3) and has greater slope than Line L1. o Line L3 goes through the point (-1, 3) and has a lesser slope than Line L1. o Line L4 is perpendicular to Line L2. A. Find the slope of Line L1. Then, using the two given points, express an equation for Line L1 in point-slope form in two distinct ways. Finally, express an equation of Line L1 in slope-intercept form. B. Line L2 goes through exactly one point of the form (a, 6) and exactly one point of the form (2, 6). What can be said of the value of a? What can be said of the value of b? Explain. C. Line L3 goes through exactly one point of the form (c, 6) and exactly one point of the form (2, d). What can be said of the value of c? What can be said of the value of d? Explain.
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