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OpenStudy (anonymous):
x=(-8-2y)/4
y=(-8-4x)/-2
OpenStudy (anonymous):
was there a question along with
\[4x-2y=8\]? find the intercepts? graph? something?
OpenStudy (anonymous):
4x-2y=-8 and its graphing.. and i must say where the y intercepts. my tutor is terrible
OpenStudy (anonymous):
how did i guess
OpenStudy (anonymous):
find the x intercept by replacing \(y\) by zero (mentally) and solve \[4x=8\] for \(x\) in one step
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OpenStudy (anonymous):
let me know when you get \(x=2\)
OpenStudy (anonymous):
i dont know
i did 4(o)-2y=-8 but i dont know how to get to the next step and graph it and intercept the y
OpenStudy (anonymous):
im so sorry i sound really stupid.
OpenStudy (anonymous):
we can go slow, no worries
OpenStudy (anonymous):
you are amazing
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OpenStudy (anonymous):
first off are we finding the x intercept or the y intercept
you pick
OpenStudy (anonymous):
maybe this will make more sense?
OpenStudy (anonymous):
ok it is asking for the y intercept so that is the one we will find
OpenStudy (anonymous):
yay, so whats the first step?
OpenStudy (anonymous):
replace \(x\) by zero in \[4x-2y=8\] and start with
\[-2y=8\]
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OpenStudy (anonymous):
divide by \(-2\) and get \(y=-4\) so the y intercept is \((0,-4)\)
OpenStudy (anonymous):
oh because two negatives make a positive 8?
OpenStudy (anonymous):
yes, and also because
\[\frac{8}{-2}=-4\]
OpenStudy (anonymous):
how would i graph this?
OpenStudy (anonymous):
let me look at the screen shot again
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OpenStudy (anonymous):
ok lets back up again
OpenStudy (anonymous):
kk
OpenStudy (anonymous):
the equation is not
\[4x-2y=8\] is is
\[4x-2y=-8\] so we have to change our answer
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
y intercept
\[-2y=-8\\
y=4\]
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OpenStudy (anonymous):
it says "answer as an ordered pair" put in \((0,4)\)
OpenStudy (anonymous):
ok got it
OpenStudy (anonymous):
but how does one graph this phenomena
OpenStudy (anonymous):
the x intercept, which you were not asked for , but you need to graph, is
\[4x=-8\\
x=-2\] so it is \((-2,0)\)
you have to make your line go through those two points
i will try to draw an example here
OpenStudy (anonymous):
|dw:1415335113080:dw|
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OpenStudy (anonymous):
okay trying
OpenStudy (anonymous):
not very phenomenal but i tried
OpenStudy (anonymous):
paid someone 80 bucks to help me with this stuff and look where it got me :(
OpenStudy (anonymous):
lol i charge $100
$200 if you want correct answers
OpenStudy (anonymous):
in any case you got the picture more or less? should look somewhat like the one i drew
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OpenStudy (anonymous):
wow! but you are good though.. so it makes sense.. so the y intercept is (-2,0) right
OpenStudy (anonymous):
oh no dear that is the \(\huge x\) intercept, where the line crosses the x axis
OpenStudy (anonymous):
the y intercept was \((0,4)\)
OpenStudy (anonymous):
OpenStudy (anonymous):
|dw:1415335351048:dw|
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OpenStudy (anonymous):
hold the phone
OpenStudy (anonymous):
you got the graph right, but y ou wrote \((-2,0)\) for the y intercept, that is wrong, it should be \((0,4)\)
OpenStudy (anonymous):
so do i change the -2,0 to 0,4
OpenStudy (anonymous):
yes please
OpenStudy (anonymous):
wow thank u so much
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OpenStudy (anonymous):
yw
you got another or are you done?
OpenStudy (anonymous):
ya i do
3x+4y=12 and i must find out where the y intercepts, type it in ordered pair as well as the x intercept
OpenStudy (anonymous):
ok what first the x intercept or the y intercept
you pick
OpenStudy (anonymous):
y
then x
OpenStudy (anonymous):
ok for y put \(x=0\) and solve
\[4y=12\]
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OpenStudy (anonymous):
let me know when you get \(y=3\)
OpenStudy (anonymous):
now lets keep careful track of the answers
the y intercept is \((0,3)\)
OpenStudy (anonymous):
how about the x intercept?
OpenStudy (anonymous):
ya i got it yay! yes now the x..wow thank you sweetie
OpenStudy (anonymous):
the x intercept is what you get when you replace \(y\) by \(0\) and solve
\[3x=12\]
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OpenStudy (anonymous):
you should get
\[x=4\] making the x intercept \((4,0)\)
OpenStudy (anonymous):
whoa, i got the same answer, i dont nkow why my tutor made this SO complicated
OpenStudy (anonymous):
ok so now we know the x and y intercepts, lets graph them carefully
OpenStudy (anonymous):
-x+4y=8
would i just put a -1 for x on the graph sheet?
OpenStudy (anonymous):
i didnt have to graph the other one but i have to do this one
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OpenStudy (anonymous):
|dw:1415336098334:dw|
OpenStudy (anonymous):
\[-x+4y=8 \] right?
OpenStudy (anonymous):
no you do not put a minus one anywhere
OpenStudy (anonymous):
OpenStudy (anonymous):
we gotta do the same thing as before
find the x and y intercepts
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OpenStudy (anonymous):
put \(x=0\) get
\[4y=8\\
y=2\] so \((0,2)\) for the y intercept