What are the coordinates of the point on the directed line segment from (-10, -1)(−10,−1) to (-3, -8)(−3,−8) that partitions the segment into a ratio of 6 to 1?

Hi there!  

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I believe your answer is:  

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Here’s why:  

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I am assuming that '3=x divided by 3' is supposed to be .

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The first, second, and fourth equations have x divided by a number. To isolate x, we would have to use the multiplication property of equality.

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For the third one (), the variable 'x' is being subtracted by 6. We would have to use the addition property of equality to isolate x.

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Hope this helps you. I apologize if it’s incorrect.