Q:

a directed line segment AB on he coordinate plane starts from A (3, 0) and ends at B (12, -9). Find the y coordinate of point C on the line segment A that partitions the segment into a 6:5 ratio. The answer should be a single number . Round your answer to the nearest 10th if needed.

Accepted Solution

A:
Answer:The answer to your question is: y = -54 / 11Step-by-step explanation:DataA (3, 0)B (12, -9)r = 6/5Formula y = [tex]\frac{y1 + ry2}{1 +r}[/tex]y = [tex]\frac{0 + (6/5)(-9)}{1 + 6/5}[/tex]y = [tex]\frac{-54/ 5}{11/5}[/tex]y = -54/11