Answer:
(0,3)
Step-by-step explanation:
You need to pick a point, P, that will give you a distance from A to P that is twice as long as from P to B, or ration 2:1
Point A is (-2,-7), point B is (1,8), and I picked (0.3) because it looked like it could be, but now we need to test it.
Distance formula is:
[tex]d=\sqrt{(x_{2}-x_{1})^{2} + {(y_{2}-y_{1})^{2} } \\[/tex]
So AP would be
[tex]AP=\sqrt{(0--2)^{2} + {(3--7)^{2} } \\[/tex]
[tex]AP=\sqrt{(2)^{2} + {(10)^{2} } \\[/tex]
Do the same with PB, and you will find it's 5.1, giving an approximate ratio of 2:1.
