point A is at (-3,4) and point C is at (2,-6).

Question

Find the coordinates of point b on AC such that the ratio of AB to AC is 4:5

Answer 1

Let B(x,y) be the point you want
Make a sketch to see that B should lie in quad IV

For the x:
(x - (-3))/(2 - (-3)) = 4/5
(x+3)/5 = 4/5
5x + 15 = 20
5x = 5
x = 1

find the y in the same way
Let me know what you get

Answer 2

y=-4