what is the y-intercept of the line with the equation 8x-1/3y=16

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Question

what is the y-intercept of the line with the equation 8x-1/3y=16

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chunkymonkay · Answer

@dtan5457

dtan5457 · Answer

Ok

you need to put this in y=mx+b form

dtan5457 · Answer

8x-1/3y=16

subtract the 8x

-1/3y=16-8x

dtan5457 · Answer

how do you make -1/3y to just y? you would multiply bu -3.

chunkymonkay · Answer

subtract the 8x from each side?

dtan5457 · Answer

yeah, you need to isolate y

dtan5457 · Answer

-1/3y=16-8x

just multiply the whole thing by -3

dtan5457 · Answer

then you will have it at y=mx+b form

b (whole number) will be your intercept

chunkymonkay · Answer

okay give me a sec to see if I can do this

chunkymonkay · Answer

im just a little bit confused how would I multiply the whole thing by -3?

dtan5457 · Answer

your probably looking it harder than it really is

-1/3y=16-8x

-1/3 times -3=y
-8x times -3=24x

etc

chunkymonkay · Answer

so the answer would be 24?

dtan5457 · Answer

no. 24x is the slope, you still need to multiply 16 by -3

chunkymonkay · Answer

ohh okay

dtan5457 · Answer

y=24x-?

chunkymonkay · Answer

48

dtan5457 · Answer

well, -48

chunkymonkay · Answer

okay so the answer is -48

dtan5457 · Answer

there you now have it at y=mx+b

y=24x-48


-48 is your intercept

dtan5457 · Answer

but if anything you have your coordinate placement wrong in your question

dtan5457 · Answer

it should be 0,-48

dtan5457 · Answer

-48,0 would define as a x axis intercept

chunkymonkay · Answer

that's how it looks on my test

dtan5457 · Answer

well -48 is definitely the y intercept, not sure why your question words it like that

chunkymonkay · Answer

thank you

dtan5457 · Answer