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CHAPTER5.2T
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à 5.2ïPlotting Ordered Pairs
ä:èPlease name the quadrant that contains the given ordered
êêïpair.
âèThe ordered pair (-3,1) is located in quadrant II.
#êêêêIIè ºëI
êêêêë ┼
#êêê(-3,1) ⌐ë┼
#êêêê£─£─£─┼─£─£─£─¥
êêêêë ┼
êêêë IIIè ┼ëIV
éSOrdered pairs in which both coordinates are positive
êare located in quadrant I.ïOrdered pairs with a negative first
êand positive second coordinate are located in quadrant II.
êPoints with negative coordinates are in quadrant III and
êpoints with a positive first and negative second coordinate
êare located in quadrant IV.
#êêêë IIëºëI
êêêêë ┼
êêêêë ┼
#êêêê£─£─£─┼─£─£─£─¥
êêêêë ┼
êêêë IIIè ┼ëIV
1èName the quadrant that contains the ordered pair (-3,5).
êë A)èIêB)ïIIê C)ïIIIêD)ïIV
ü
ê Since the first coordinate, -3, is negative and the second
ê coordinate, 5, is positive, this point is in quadrant II.
Ç B
2èName the quadrant that contains the ordered pair (-4,-5).
êë A)èIêB)ïIIê C)ïIIIêD)ïIV
ü
êSince both coordinates are negative, this point lies in
êquadrant III.
Ç C
ä:èPlease plot the given point on the given coordinate
êêïsystem.
âêïThe point (-3,1) is located as shown.
#êêêêë º
êêêêë ┼
#êêê(-3,1) ⌐ë┼
#êêêê£─£─£─┼─£─£─£─¥
êêêêë ┼
êêêêë ┼
éS To locate the point, (-3,1), on a coordinate system, count
ê three marks to the left of the origin and then one up.
#êêêêëº
êêêêë┼
#êêëone upï⌐ë┼ (0,0) origin
#êêêë £─£─£─┼─£─£─£─¥
êêë3 to the left ┼
êêêêë┼
3êPlot (3,-2) on the given coordinate system.
#êë ºêêèºêêèº
#ëA)ë ┼ê B) ⌐ë┼ê C)ê┼êèD)ïå
êë ┼êè ∙ë┼êêè┼êê of
#ê£─£─£─┼─£─£─£─¥è£─£─£─┼─£─£─£─¥è£─£─£─┼─£─£─£─¥ë ç
êë ┼ë∙êè ┼êè ∙ë┼
#êë ┼ë⌐êè ┼êè ⌐ë┼
ü
#êêêêïº
êêê A)ë ┼
êêêêï┼
#êêêè£─£─£─┼─£─£─£─¥
êêêêï┼ë∙
#êêêêï┼ë⌐ï(3,-2)
Çè A
4êPlot (-2,-2) on the given coordinate system.
#êè ºêêèºêêèº
#èA)ë ┼ê B)ê┼ê C)è⌐è┼êèD)ïå
êè ┼êêè┼êë ∙è┼êê of
#ë£─£─£─┼─£─£─£─¥è£─£─£─┼─£─£─£─¥è£─£─£─┼─£─£─£─¥ë ç
êè ┼è∙êï∙è┼êêè┼
#êè ┼è⌐êï⌐è┼êêè┼
#üêêêêº
êêêêë ┼
êêêêë ┼
#êêêê£─£─£─┼─£─£─£─¥
êêêêï∙è┼
#êêê (-2,-2) ⌐è┼
Ç B
5:èPlot the point (0,2) on the given coordinate system.
#êè ºêêèºêêèº
#è A)ë┼êèB)ë┼êèC)ë⌐êïD)ènone
êè ┼êêè┼êêè┼êê of
#ë ─⌐─£─┼─£─£─£─¥è£─£─£─┼─£─⌐─£─¥è£─£─£─┼─£─£─£─¥ë ç
êè ┼êêè┼êêè┼
êè ┼êêè┼êêè┼
#üêêêêº
#êêêêë ⌐ (0,2)
êêêêë ┼
#êêêê£─£─£─┼─£─£─£─¥
êêêêë ┼
êêêêë ┼
Ç C
6 Complete the values (0,?) (?,0), (1,?) forï-x + y = 1ï& plot.
#êè ºêêèºêêèº
#è Aë ┼ ⌐ê Bè ⌐ ┼êèCë ┼êèDèå
#êè ⌐êêè⌐êêè┼ ⌐êë of
#ë£─£─⌐─┼─£─£─£─¥è£─£─£─┼─⌐─£─£─¥è£─£─£─⌐─£─£─£─¥ë ç
#êè ┼êêè┼êê ⌐ ┼
êè ┼êêè┼êêè┼
ü
#ê -0 + y = 1è -x + 0 = 1ë -1 + y = 1êèº
#êë y = 1êïx = -1êèy = 2êè┼ ⌐
#êë (0,1)êï(-1,0)êè(1,2)êè⌐
#êêêêêêêè£─£─⌐─┼─£─£─£─¥
êêêêêêêêï┼
êêêêêêêêï┼
Ç A
7 Complete the pairs (0,?), (?,0), (1,?) forï2x + y = 1ï& plot.
#êè ºêêèºêêèº
#è Aë ┼êèBë ┼êèCè ⌐ ┼êèDèå
#êè ⌐êêè⌐êêè⌐êê of
#ë£─£─£⌐┼─£─£─£─¥è£─£─£─┼⌐£─£─£─¥è£─£─£─┼─⌐─£─£─¥ë ç
#êï⌐ ┼êêè┼ ⌐êê ┼
êè ┼êêè┼êêè┼
ü
#ê 2∙0 + y = 1è2x + 0 = 1ë 2∙1 + y = 1êïº
êêy = 1êë1êëy = -1ê ┼
#êê(0,1)ê x = ─êè (1,-1)êï⌐
#êêêêè2êêë £─£─£─┼⌐£─£─£─¥
#êêêêêêêêï┼ ⌐
êêêêêêêêï┼
Ç B
8 Complete the pairs (0,?), (3,?), (1,?) forïy = 2è& plot.
#êè ºêêèºêêèº
#è Aë ┼ë⌐è Bë ⌐ ⌐è⌐è Cë ┼êèDèå
#êè ┼ë⌐êè ┼êêè┼êê of
#ë£─£─£─┼─£─£─⌐─¥è£─£─£─┼─£─£─£─¥è£─£─£─┼─£─£─£─¥ë ç
êè ┼êêè┼êêè┼
#êè ┼êêè┼êêè⌐ ⌐ ⌐
üïThe y-value is 2 for each x value in the ordered pairs.
#êêêêêêêêïº
#êêêêêêêêï⌐ ⌐è⌐
êë (0,2)êï(3,2)êè (1,2)êè┼
#êêêêêêêè£─£─£─┼─£─£─£─¥
êêêêêêêêï┼
êêêêêêêêï┼
Ç B
9 Complete the pairs (?,0), (?,2), (?,-1) forïx = -2è& plot.
#êè ºêêèºêêèº
#è Aï⌐è┼êèBë ┼è⌐ë Cë ┼êèDèå
êè ┼êêè┼êêè┼êê of
#ë£─⌐─£─┼─£─£─£─¥è£─£─£─┼─£─⌐─£─¥è£─£─£─┼─£─£─£─¥ë ç
#ê⌐è┼êêè┼è⌐êè ⌐ ⌐è⌐
êè ┼êêè┼êêè┼
üïThe x-value is -2 for each y value in the ordered pairs.
#êêêêêêêêïº
#êêêêêêêë⌐è┼
êë(-2,0)ê (-2,2)êï(-2,-1)êè┼
#êêêêêêêè£─⌐─£─┼─£─£─£─¥
#êêêêêêêë⌐è┼
êêêêêêêêï┼
Ç A
10 Complete the pairs (0,?), (1,?), (-1,?) forïy = 2xè& plot.
#êè ºêêèºêêèº
#è Aë ┼ ⌐ê Bè ⌐ ┼êèCë ┼êèDèå
#êè ┼êêè┼êêè┼è⌐êè of
#ë£─£─£─⌐─£─£─£─¥è£─£─£─⌐─£─£─£─¥è£─£─£─⌐─£─£─£─¥ë ç
#êè ┼êêè┼êë ⌐è┼
#êï⌐ ┼êêè┼ ⌐êê ┼
üêêêë y = 2x
#êïy = 2∙0êïy = 2∙1ê y = 2(-1)êïº
#êïy = 0êè y = 2êèy = -2êë┼ ⌐
êï(0,0)êè (1,2)êè(-1,-2)êè ┼
#êêêêêêêè£─£─£─⌐─£─£─£─¥
êêêêêêêêï┼
#êêêêêêêê⌐ ┼
Ç A