Segment YZ has endpoints (6, 3) and (3, 9). Find the coordinates of the point that divides the line segment directed from Y to Z in the ratio of 2:1.

Answer:   (4, 7)Step-by-step explanation:The point of interest is ...   P = (2Z +1Y)/(2+1) = ((2·3+6)/3, (2·9+3)/3)   P = (4, 7)__The point that divides the segment into the ratio a:b is the weighted average of the endpoints, with the weights being "b" and "a". The weight of the first end point corresponds to the length of the far end of the segment.