Me with this math point a is located at (5, 10) and point b is located at (20, 25). what point partitions the directed line segment ab¯¯¯¯¯ into a 3: 7 ratio? (912, 1412) (912, 2012) (1512, 1412) (1512, 2012)

(x,y)=(x1+k(x2-x1),y1+k(y2-y1))
 k is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio.
 k=3/(3+7)=3/10.
 Point A is located at (5, 10) and point B is located at (20, 25).
 (x,y)=(5+(3/10)*(20-5),10+(3/10)*(25-10))
 (x,y)= (9.5,14.5)
 The answer would be 
 (9 1/2, 14 1/2)

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The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.