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The equation of line r is y=32x+4. What is the slope of the image of r after a dilation with a scale factor of 12 centered at (0,1)?Write your answer as an integer or simplified fraction.

Question

The equation of line r is y=32x+4. What is the slope of the image of r after a dilation with a scale factor of 12 centered at (0,1)?Write your answer as an integer or simplified fraction.

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Solution

The slope of the line y = 32x + 4 is 32.

A dilation with a scale factor of 12 centered at (0,1) will multiply the slope of the line by the scale factor.

Therefore, the slope of the image of r after the dilation is 32 * 12 = 384.

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