Which of the following equation represents the given graph
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Given : A graph passing through ( 3 , 0) and ( 0 , 2)
To Find : Equation of the line
2x + y = 6
y + 2x = 4
3y + 2x = 6
2x - 3y = 6
Solution:
Let say Equation of the line is
y = mx + c
x = 0 , y = 2 is one point
=> 2 = 0 + c
=> c = 2
Hence y = mx + 2
x = 3 , y = 0 is one point
=> 0 = 3m + 2
=> 3m = - 2
=> m = - 2/3
y = (-2/3)x + 2
=> 3y = -2x + 6
=> 2x + 3y = 6
2x + 3y = 6 is the Equation of the line
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