anonymous
  • anonymous
Help Me!!
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Find the point that is one-fourth of the way from (1,7) to (18,22)
anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
find the midpoint from (1,7) to (18,22) call this midpoint M

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anonymous
  • anonymous
sorry for bothering you again you really help
jim_thompson5910
  • jim_thompson5910
once you have M, use this to find the midpoint from (1,7) to M
jim_thompson5910
  • jim_thompson5910
this works because the quarter point is exactly half way between the starting point and the midpoint
anonymous
  • anonymous
and what about the "one-fourth" in the sentence, what do we do with that?
jim_thompson5910
  • jim_thompson5910
look at my next post after that
anonymous
  • anonymous
@jim_thompson5910 okay, i got (9.5,14.5)
jim_thompson5910
  • jim_thompson5910
so that's your point M
anonymous
  • anonymous
yup
jim_thompson5910
  • jim_thompson5910
now you must find the midpoint from the starting point (1,7) to M(9.5, 14.5)
anonymous
  • anonymous
im lost, how would I do that?
jim_thompson5910
  • jim_thompson5910
the same way you found the midpoint between the two original points (ignore M)
anonymous
  • anonymous
Would it be
anonymous
  • anonymous
i think i have an idea
anonymous
  • anonymous
i cant write it in the equation button, but would it be 1+x^2
anonymous
  • anonymous
ughh
jim_thompson5910
  • jim_thompson5910
not sure how you're getting that
jim_thompson5910
  • jim_thompson5910
just find the midpoint between (1,7) and (9.5, 14.5)
jim_thompson5910
  • jim_thompson5910
so add up the coordinates, divide by 2
anonymous
  • anonymous
i mean would one point be 19?
jim_thompson5910
  • jim_thompson5910
how are you getting 19?
jim_thompson5910
  • jim_thompson5910
find the midpoint between (1,7) and (9.5, 14.5)
anonymous
  • anonymous
|dw:1379389868710:dw|
anonymous
  • anonymous
its a mess but i tried
jim_thompson5910
  • jim_thompson5910
(1+9.5)/2 = ???
anonymous
  • anonymous
can you please set it up into the formula. this is new stuff for me and tommorow i have a test based on this
jim_thompson5910
  • jim_thompson5910
what does (1+9.5)/2 evaluate to
anonymous
  • anonymous
5.25
jim_thompson5910
  • jim_thompson5910
so that's the x coordinate of the midpoint between (1,7) and (9.5, 14.5) ie...it's the x coordinate of the quarter point
jim_thompson5910
  • jim_thompson5910
do the same for the y coordinates
anonymous
  • anonymous
so for the y coordinates i would add 7+14.5 which will give me 21.5 and then divide it by 2 which will give me 21.5
jim_thompson5910
  • jim_thompson5910
21.5/2 = ??
jim_thompson5910
  • jim_thompson5910
you typed 21.5 twice
anonymous
  • anonymous
oops my bad its 10.75
jim_thompson5910
  • jim_thompson5910
yep, so the quarter point is (5.25, 10.75)
anonymous
  • anonymous
okay so will i always divide by 2? how do i know what do divide to? and would i always be adding as well?
jim_thompson5910
  • jim_thompson5910
we're just finding midpoints
jim_thompson5910
  • jim_thompson5910
a quarter point is a midpoint between the start and the original midpoint
jim_thompson5910
  • jim_thompson5910
|dw:1379390420596:dw|
anonymous
  • anonymous
and what would we do if it was asking for the 1/2 of the way?
jim_thompson5910
  • jim_thompson5910
Add in the midpoint |dw:1379390452778:dw|
jim_thompson5910
  • jim_thompson5910
now add in the point which is 1/4 way from P to Q, call this point N point N is the midpoint between P and M |dw:1379390509988:dw|
anonymous
  • anonymous
so would the final answer be 5.25 or 10.75
jim_thompson5910
  • jim_thompson5910
in retrospect, i should have named the quarter point Q, oh well
jim_thompson5910
  • jim_thompson5910
they are used together to report the answer
jim_thompson5910
  • jim_thompson5910
since all points are of the form (x,y)
anonymous
  • anonymous
so the final answer would be (5.25,10.75)
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
even though its just asking for 1 point? how do i know which point is it x or y?
jim_thompson5910
  • jim_thompson5910
each and every point on a 2D coordinate grid is always of the form (x,y)
jim_thompson5910
  • jim_thompson5910
so you need both x and y to figure out where you are on this grid
anonymous
  • anonymous
thanks so much!
jim_thompson5910
  • jim_thompson5910
yw

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