IM GIVING MEDALS TO THE BEST HELPER

Point P is located at (−2, 7) and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R.

4.9

4.7

2.5

2.3

Question

IM GIVING MEDALS TO THE BEST HELPER 

Point P is located at (−2, 7) and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R.

4.9

4.7

2.5

2.3

anonymous · Answer

HELLLP

anonymous · Answer

Try the point  Q=(-4/5, 21/5)

anonymous · Answer

I will explain to you how you get it.

anonymous · Answer

Any point between P and R  can be written as
$$
g(t)= P + t(R-P)= (-2,7) +t((1,0)-(-2,7))= 
\(-2 + 3 t, 7-7t)  \quad 0 \le  t\le 1

$$

anonymous · Answer

For example g(0)=P; g(1)=R, g(1/2) is the midpoint of the segment PR

anonymous · Answer

to have the point Q so that $ \frac{PQ}{QR} =2/3   $, we need to divide Pr into 5 equal parts, and we should  find PQ=2/5 and QR=3/5. Hence
Q=g[2/5)=(-4/5,21/4)

anonymous · Answer

thank you

anonymous · Answer

YW