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Question

The line 2x3y=4
  1. passes through origin and m=23
  2. passes through (0,2) and m=23
  3. passes through (0,2) and m=23
  4. passes through (2,0) and m=23

A
passes through (0,2) and m=23
B
passes through (0,2) and m=23
C
passes through (2,0) and m=23
D
passes through origin and m=23
Solution
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Thegivenequationis2x3y=4y=23x43Herexistheindependentvariable.Weassignany4valuesofxandobtainthecorrespondingvaluesofy.x=6y=5.3,x=3y=3.3,x=3y=0.7.x=6y=2.7.Sotheorderedpairesofvaluesof(x,y)=(6,5.3),(3,3.3),(3,0.7)&(6,2.7).Nowweplotthemonagraph.Thelinepassesthrough(2,0)andm=23.AnsOptionB.
202757_197846_ans_f8d0dbb1fbd64930ad4af0a75df2ecbd.png

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