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11-12-2017
Mathematics

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write an equation that is parallel to 2x+5y=4 and contains the point (2,1)

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11-12-2017

5y = -2x + 4
y = (-2/5)x + 4/5

so our equation must have the same slope -2/5 ( because it is parallel to given line)

y - y1 = (-2/5)(x - x1)
plugging in the point (2,1):-
y - 1 = (-2/5)(x - 2)
y = (-2/5)x + 9/5 is the answer
or we can write it in standard form:-
2x + 5y = 9

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