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March 25, 2017

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The point (5, -7) is dilated by a scale factor of 4 about the origin. Find the location of the new point. Show your work.

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    New point: (20, -28). Slope of line going through the origin and (5, -7) is -7/5, which makes the radius of that circle sq rt of 74, or
    (74)^(1/2). The new radius will be
    4*(74)^(1/2). Assuming that the length of the x coordinate (and Y!) is proportional to the radius, that makes the new coordinate (20, -28). Double-checked it with the area of the circle, which increases by a factor of 16 (radius of original circle increased by a factor of 4: r of new circle = 16 times the r of old circle). Let me know if you agree!

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