Given the points A(-2, 5) and B(2, 3), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio of 3: 5. Write the answer in lowest simplified fraction if necessary.

Answer:The answer to your question is:  Point (-1/2 , 17/4)Step-by-step explanation:DataA(-2, 5)B (2, 3)ratio 3:5    r = 3/5Formula[tex]x = \frac{x1 + rx2}{1 + r}                           y = \frac{y1 + ry2}{1 + r}[/tex]Processx = [tex]x = \frac{-2 + (3/5)2}{1 + 3/5}            y = \frac{5 + (3/5)3}{1 + (3/5)}[/tex][tex]x = \frac{-2 + 6/5}{5+3/5}                       y = \frac{5  9/5}{5 + 8/ 5}[/tex][tex]x = \frac{-10 + 6/5}{8/5}                          y = \frac{25 + 9/5}{8/5}[/tex][tex]x = \frac{-4}{8}                                        y = \frac{17}4}[/tex]x = -1/2                                                           y = 17/4