- anonymous

Help Me!!

- jamiebookeater

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- anonymous

Find the point that is one-fourth of the way from (1,7) to (18,22)

- anonymous

- jim_thompson5910

find the midpoint from (1,7) to (18,22)
call this midpoint M

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## More answers

- anonymous

sorry for bothering you again you really help

- jim_thompson5910

once you have M, use this to find the midpoint from (1,7) to M

- jim_thompson5910

this works because the quarter point is exactly half way between the starting point and the midpoint

- anonymous

and what about the "one-fourth" in the sentence, what do we do with that?

- jim_thompson5910

look at my next post after that

- anonymous

@jim_thompson5910 okay, i got (9.5,14.5)

- jim_thompson5910

so that's your point M

- anonymous

yup

- jim_thompson5910

now you must find the midpoint from the starting point (1,7) to M(9.5, 14.5)

- anonymous

im lost, how would I do that?

- jim_thompson5910

the same way you found the midpoint between the two original points (ignore M)

- anonymous

Would it be

- anonymous

i think i have an idea

- anonymous

i cant write it in the equation button, but would it be 1+x^2

- anonymous

ughh

- jim_thompson5910

not sure how you're getting that

- jim_thompson5910

just find the midpoint between (1,7) and (9.5, 14.5)

- jim_thompson5910

so add up the coordinates, divide by 2

- anonymous

i mean would one point be 19?

- jim_thompson5910

how are you getting 19?

- jim_thompson5910

find the midpoint between (1,7) and (9.5, 14.5)

- anonymous

|dw:1379389868710:dw|

- anonymous

its a mess but i tried

- jim_thompson5910

(1+9.5)/2 = ???

- 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

what does (1+9.5)/2 evaluate to

- anonymous

5.25

- 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

do the same for the y coordinates

- 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

21.5/2 = ??

- jim_thompson5910

you typed 21.5 twice

- anonymous

oops my bad its 10.75

- jim_thompson5910

yep, so the quarter point is (5.25, 10.75)

- 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

we're just finding midpoints

- jim_thompson5910

a quarter point is a midpoint between the start and the original midpoint

- jim_thompson5910

|dw:1379390420596:dw|

- anonymous

and what would we do if it was asking for the 1/2 of the way?

- jim_thompson5910

Add in the midpoint
|dw:1379390452778:dw|

- 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

so would the final answer be 5.25 or 10.75

- jim_thompson5910

in retrospect, i should have named the quarter point Q, oh well

- jim_thompson5910

they are used together to report the answer

- jim_thompson5910

since all points are of the form (x,y)

- anonymous

so the final answer would be (5.25,10.75)

- jim_thompson5910

yes

- anonymous

even though its just asking for 1 point? how do i know which point is it x or y?

- jim_thompson5910

each and every point on a 2D coordinate grid is always of the form (x,y)

- jim_thompson5910

so you need both x and y to figure out where you are on this grid

- anonymous

thanks so much!

- jim_thompson5910

yw

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