Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2) A. (-3, -10.75) B. (-3, 3.25) C. (-5, -4) D. (-3, -3.75)

 B.  (-3, 3.25)

Step-by-step explanation:  Imagine that the line is divided into 4 segments.  (3:1) Since A is at the upper right end of the line, go 3 segments down and left from A. That puts the x value at -3.

If you graph the line, it is evident that the y-value is at 3.25.

(It may be possible to use the Pythagorean Theorem to compute the lengths of line segments-- but this is a multiple-choice question!)

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