How do I write an equation of the line that passes through the given point and is parallel to the given line.   (-2,5), 2y=4x-6?
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When two lines are parallel they have the same slope but different y intercept. 2y=4x-6 can also be written y=2x-3 because 2 is a common factor to both sides. The slope of this line is the number before the x term=2. Now we can write the equation of the parallel line: y=2x+b, where we have to find b by plugging in the given point: 5=-4+b, so b=9 and the equation is y=2x+9.

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