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The line represented by 2y = 6x + 8 is dilated by a scale factor of k centered at the origin, such that the image of the line has an equation of y = 3x+ 12. What is the scale factor?

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2y=6x+8 is the same as
y = 3x+4
The new line is twice as far from the origin, so the dilation must have been a factor of 2.

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