Mathematics
10 Online
OpenStudy (summerncaela):
Write an equation in slope-intercept form for the line that contains each pair of points.
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OpenStudy (summerncaela):
Here is a pair of points, (3,4),(-1,-2)
OpenStudy (summerncaela):
please help
OpenStudy (ageta):
so are you trying to find the slope
OpenStudy (summerncaela):
Well, I did y2-y1/x2-x1 but thats not the answer
OpenStudy (summerncaela):
the answer in the back of the book says its y=3/2x-1/2 but idk how they got it
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OpenStudy (ageta):
they got 3/2x by using the y2-y1/x2-x1
OpenStudy (summerncaela):
how?
OpenStudy (ageta):
just plug them in
what is y2
OpenStudy (summerncaela):
4
OpenStudy (ageta):
y2-y1
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OpenStudy (summerncaela):
i did 4--2/3--1 =6/4
OpenStudy (ageta):
simplify 6/4 =3/2
OpenStudy (summerncaela):
;l
OpenStudy (summerncaela):
where did the 1/2 come from
OpenStudy (ageta):
use the slope formula now
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OpenStudy (ageta):
y=mx+b
OpenStudy (summerncaela):
do i plug in 3/2?
OpenStudy (ageta):
yes
OpenStudy (ageta):
3/2 goes on m which is the slope
OpenStudy (summerncaela):
am a little lost on how to do that
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OpenStudy (summerncaela):
oh
OpenStudy (summerncaela):
y=3/2x+b
OpenStudy (ageta):
yes now you need to plug in one cordenate in that formula
the x an y
OpenStudy (summerncaela):
i dont understand
OpenStudy (ageta):
from the start you had 2 coordinates right
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OpenStudy (summerncaela):
yes
OpenStudy (ageta):
yes one of the then plug them in
OpenStudy (ageta):
x on x and y on y
OpenStudy (ageta):
4=3/2*3+b
OpenStudy (ageta):
because i used (3,4)
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OpenStudy (ageta):
now solve for b which is the y-intercept
OpenStudy (summerncaela):
4= 4.5+b then i solve for b?
OpenStudy (ageta):
first don't mix decimals and fractions we want to get fraction so we leave is as fraction
OpenStudy (ageta):
which is 3/2 * 3/1 = 9/2
OpenStudy (ageta):
then substract 9/2 from 4/1 right
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OpenStudy (ageta):
b= -1/2
OpenStudy (summerncaela):
wait where did 4/1 come from
OpenStudy (ageta):
4/1 is another way of saying 4
it was on the outside remember
OpenStudy (summerncaela):
it was 4=9/2x+b
OpenStudy (ageta):
is the the Y on (3,4)
Y=mx+b
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OpenStudy (summerncaela):
i feel so stupid its just not clicking in my brain
OpenStudy (ageta):
4=9/2+b
OpenStudy (summerncaela):
so then you subtract 9/2
OpenStudy (ageta):
we already used the x to multiply 3/2*3 =9/2
OpenStudy (summerncaela):
from both sides?
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OpenStudy (ageta):
yes
OpenStudy (ageta):
we want to make b by its self so usbstract 9/2
OpenStudy (summerncaela):
so then its y=9/2x -1/2
OpenStudy (ageta):
no
OpenStudy (summerncaela):
3/2 myy
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OpenStudy (ageta):
3/2 is the slope
OpenStudy (summerncaela):
3/2 yes my bad
OpenStudy (ageta):
y=3/2-1/2
OpenStudy (summerncaela):
thank you sso much
OpenStudy (ageta):
i mean y=3/2x-1/2
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OpenStudy (ageta):
your welcome
OpenStudy (summerncaela):
you're a life saver tysm
OpenStudy (ageta):
it explains it better
OpenStudy (ageta):
bye
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OpenStudy (summerncaela):
ok thank u