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OpenStudy (anonymous):
OpenStudy (uri):
y=mx+b
where m= slope
OpenStudy (aripotta):
you're given the slope and the y-intercept. plug them into the slope-intercept form, as uri suggested, and you should get one of your answers
y = mx + b where m is slope ins b is y-intercept
OpenStudy (aripotta):
and* not ins. lol
OpenStudy (anonymous):
B?
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OpenStudy (aripotta):
yes :) and that's your answer in just one form. so we can change forms to see if we can choose another choice. let's try moving the equation into standard form
Ax + By = C
OpenStudy (anonymous):
C?
OpenStudy (aripotta):
and A cannot be a fraction
OpenStudy (anonymous):
or A
OpenStudy (anonymous):
so C then
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OpenStudy (aripotta):
y = 2/3x - 5
-2/3x + y = - 5
-2x + 3y = - 15
OpenStudy (aripotta):
and that's answer choice A
OpenStudy (aripotta):
so far we have choices A and B as correct
OpenStudy (anonymous):
yup
OpenStudy (aripotta):
let's see if C is correct. our original equation is y = 2/3x - 5. C is 6y = 4x - 30
so, supposedly, they got C by multiplying the whole equation by 6. so let's do that to our original equation to see if we get C
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OpenStudy (anonymous):
ok, kinda following DX
OpenStudy (aripotta):
see how C starts with 6y? that means the whole equation would have been multiplied by 6
OpenStudy (aripotta):
so 6(y = 2/3x - 5) = what?
OpenStudy (anonymous):
so I have to do the stuff in the parentheses then multiply it by 6?
OpenStudy (aripotta):
no the whole equation is in parentheses. you're multiplying the whole equation by 6. like you're distributing
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OpenStudy (anonymous):
oh that meaks helps :P
OpenStudy (anonymous):
makes*
OpenStudy (anonymous):
wait that sentence was a fail lol
OpenStudy (aripotta):
lol
OpenStudy (aripotta):
are you working on it or are you lost
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OpenStudy (anonymous):
lost and sorry someone mentioned me in something
OpenStudy (anonymous):
in English
OpenStudy (aripotta):
ok so we wanna know if 6(y = 2/3x - 5) equals 6y = 4x - 30
OpenStudy (anonymous):
yes
OpenStudy (aripotta):
if they're equal, then choice C is an answer
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OpenStudy (anonymous):
6y=-26x
OpenStudy (aripotta):
how did you get that? what happened to our y-intercept?
OpenStudy (anonymous):
its behind the 6 :P
OpenStudy (aripotta):
6(y = 2/3x - 5) is (6 times y) = (6 times 2/3x) plus (6 times -5)
OpenStudy (anonymous):
ok
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OpenStudy (aripotta):
so 6 times y = 6y
6 times 2/3x = 4x
6 times -5 = -30
which gives us an equation of 6y = 4x - 30, which is the same as C
OpenStudy (aripotta):
so C is one of our answers
OpenStudy (aripotta):
make sense?
OpenStudy (anonymous):
a little bet Dx
OpenStudy (anonymous):
bit*
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OpenStudy (anonymous):
I understand it more
OpenStudy (aripotta):
ok so choice D is in point-slope form\[y - y_1 = m(x - x_1)\]
OpenStudy (anonymous):
ok
OpenStudy (aripotta):
the choice says y + 3 = 2/3(x - 3)
we can convert it into slope-intercept form to see if we get our equation y = 2/3x - 5
OpenStudy (anonymous):
ok
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OpenStudy (aripotta):
so y + 3 = 2/3(x - 3)
first distribute
y + 3 = 2/3x - 2
subtract 3 from both sides
y = 2/3x - 5
so choice D is also correct :)