Find the coordinates of so that partitions the directed segment AB in the ratio 3/5 and B(- 4, 8) A(- 9, - 2)

Answer 1

Need to find point which is 3/5 of the way from A(-9,-2) to B(-4,8)

Distance between x coordinate of A and x coordinate of B is -4--9 = 5. 3/5 of that distance is 3. Add that to x-coordinate of A = -9 + 3 = -6.

Distance between y coordinate of A and y coordinate of B is 8--2 = 10. 3/5 of that distance is 6. Add that to y-coordinate of A = -2 + 6 = 4.

Point is (-6,4).

Answer 2

-9 to -4 is 5, (3/5)(5) = 3, -9 + 3 = -6

-2 to 8 is 10, (3/5)(10) = 6, -2 + 6 = 4

(-6, 4)