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Mathematics 21 Online
OpenStudy (anonymous):

Help will medal!

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?

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

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

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

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

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

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

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*

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

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 :)

OpenStudy (anonymous):

so all are correct then

OpenStudy (aripotta):

yes

OpenStudy (anonymous):

Thanks

OpenStudy (aripotta):

no problemo :)

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