## anonymous one year ago A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 3:1 ratio. Find Q. You must show all work to receive credit. i dont want the answer i want help solving it and explanation

1. anonymous

3:1 ratio is 4 pieces. We can find the length of each partition in the x and y directions. For x the partition length is $$\frac{ 4-2 }{ 4 }$$ and for y it's $$\frac{ 2-(-1) }{ 4 }$$. Start by simplifying those

2. anonymous

so x being 2/4 and y 3/4 ?

3. anonymous

yes. and you can reduce x to ½. Since Q is closer to C, you can subtract those from the coordinates of C. $(4-\frac{ 1 }{ 2},2-\frac{ 3 }{ 4 })$

4. anonymous

Alternatively, you could add them to A 3 times since A is 3 partitions away. Either way you'll get the same result.

5. anonymous

wait so am i solving whats what you just wrote ?

6. anonymous

2,1.35 ?

7. anonymous

(3.5,1.25) either you subtracted wrong or made a typo

8. anonymous

yes typo

9. anonymous

everything clear?

10. anonymous

so then i subtract ?

11. anonymous

12. anonymous

oh wow easier then i thought thank you so much !

13. anonymous

you're welcome

14. anonymous

want to help with another ? has to do with a graph and area