## anonymous one year ago Point E is located at (2, -3), and point F is located at (-2, -1). Find the y value for the point that is the distance from point E to point F.

1. anonymous

*that is 3/4 the distance

2. campbell_st

well look at the y values how far from -3 to -1...?

3. anonymous

2 units right?

4. campbell_st

correct so what is 3/4 of 2...?

5. anonymous

1.5

6. anonymous

if thats it, it's not one of the choices. could it be -1.5?

7. campbell_st

|dw:1439496849476:dw| great so count up 1.5 from -3 where do you finish..?

8. anonymous

-1.5?

9. campbell_st

ok... so are you being asked to find the point that divided the interval in the ratio 3:4

10. anonymous

yes

11. anonymous

okay i think i get it now, thanks a lot!

12. anonymous

idk how to give you a medal though

13. campbell_st

ok... so the ratio is 3:4 the ratio is m:n and the points are E, F then the formula is $y = \frac{n \times y_{F} + m \times y_{E}}{m + n}$

14. campbell_st

so if you have a point P between E and F then using fractions $\frac{EP}{PF} = \frac{3}{4}$ so after crossing multiplying 4EP = 3PF that's provided its an internal division