Question

Point A is located at (-8, 3). Point C is located at point (12, -4). Find point B if it is (2/5) the distance from point A to point B.

sqrt[(12 + 8)2 + (-4 - 3)2]
sqrt[(20)2 + (-7)2]
sqrt[400 + 49]
sqrt[449]
AC = 21.18

2/5 of 21.18 is 8.472
What do I do from here?

Answer 1

@phi @TuringTest

Answer 2

it is easier to find the change in x from point A to point C: -8 to 12 is 20 units to the right. you want to go 2/5 of that amount in the x direction: 2/5 * 20= 8
add 8 to point A's x: -8+8 = 0

that is the x coordinate of point B

we do the same for the y coord

Answer 3

the y coord of A is 3
the y coord of c is -4
that is a change of -7
2/5 of -7 = -14/5
add that to 3 (3 is the same as 15/5) to get
15/5 - 14/5 = 1/5

that is the y coord of pt B

Answer 4

So B is at (0, 1/5) or (0, 0.2)?

Answer 5

yes

Answer 6

Ok, thank you! I have been stuck for like 2 hours now.