## hybrik one year ago A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Find T.

1. hybrik

I did my work, but it doesn't seem right.

2. anonymous

What did you get?

3. hybrik

(5.33,3.33)

4. anonymous

Basically, you subtract y1 and y (and x1 and x) then divide it by the ratio 2:1, 2+1=3. So you divide it by 3. |dw:1438973308499:dw|

5. hybrik

6. anonymous

So for x, I got 2. Now what you want to do is subtract 2 from 7 (x2).

7. anonymous

lol i typed x1 and x instead of x2 and x1; hope you didn't get confused :D

8. hybrik

So you get -1, for Y, then add 4-1 (3) to it?

9. anonymous

And for y, since the ratio is 2:1, then you have to add -1 to 4 two times. So, it would be 4+(-1)+(-1). For me, I'd go to the closest point, F then subtract -1. 1-(-1)=. It's still the same though.

10. hybrik

So the point would be 2,2

11. hybrik

Yes, no?

12. anonymous

$$\color{#0cbb34}{\text{Originally Posted by}}$$ @mathway So for x, I got 2. Now what you want to do is subtract 2 from 7 (x2). $$\color{#0cbb34}{\text{End of Quote}}$$ The x-value is wrong. What is 7-2?

13. hybrik

cinco

14. anonymous

correcto

15. hybrik

5,2

16. anonymous

yes :)

17. hybrik

Let me see if I graph it it looks, reasonable.

18. hybrik

Yep, its reasonable