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Write an equation of a line that is parallel to the line whose equation is 3y=x+6 and that passes through the point (-3,4).

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The standard form of this equation is


y=(1)/(3)x+2

The slope of two parallel lines i the same, so the slope of the line we're looking for is also
(1)/(3)

Since the line passes through
(-3,4), the equation is:


(y-4)=(1)/(3)(x+3)


\boxed{y=(1)/(3)x+5}





User Jedesah
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