A relationship between x and y is defined by the equation y = -4/3 + 1/3, where x is the input and y is the output. Which statement(s) about the relationship are true?

Select EACH correct answer.

A. y is a function of x
B. The graph of the relationship is a line
C. When the input is -3, the output is 4.
D. When the input is -2, the output is 3.

Question

A relationship between x and y is defined by the equation y = -4/3 + 1/3, where x is the input and y is the output. Which statement(s) about the relationship are true?

Select EACH correct answer.

A. y is a function of x 
B. The graph of the relationship is a line
C. When the input is -3, the output is 4. 
D. When the input is -2, the output is 3.

anonymous · Answer

Is the given equation $$y=-4/3+1/3x$$

anonymous · Answer

oh! no sorry! its y = -4/3x + 1/3

anonymous · Answer

$$y=(-4/3)x+1/3$$ or $$y=\frac{-4}{3x} + 1/3$$

anonymous · Answer

the first one

anonymous · Answer

ok :). the last to MC options are easy to check... just sub in the values for x.

anonymous · Answer

for MC option one, does it have the form of a line? i'e. can you write it as y=mx+b where m,b are numbers?

anonymous · Answer

I think there are three true statements.

anonymous · Answer

sorry my internet is being weird!

anonymous · Answer

yeah i think there's more than one too

anonymous · Answer

i still dont really get it though....

anonymous · Answer

ok, lets consider on choice at a time... Choice 1: is y a function of x?

anonymous · Answer

i dont think so?

anonymous · Answer

To be a function, each choice of input x, has to have a unique output.  i.e. it needs to pass the vertical line test....

Lets two choice two, it will help us decide

anonymous · Answer

MC 2: is it a line?

anonymous · Answer

yes?

anonymous · Answer

To check, can you write is in the form of a line, y=mx+b? where m,b are just numbers?  YES m=-4/3, b=1/3

anonymous · Answer

Do you see it?

anonymous · Answer

yes!

anonymous · Answer

what about the last two?

anonymous · Answer

ok, back to the first one! |dw:1456186914503:dw|

anonymous · Answer

does any line pass the vertical line test? i.e. does a vertical line cross our line twice anywhere?

anonymous · Answer

nope

anonymous · Answer

So it passes, So it's a function!

anonymous · Answer

nope to there not being a line anywhere**

anonymous · Answer

so are A and B both answers...?

anonymous · Answer

k, its a function and it's a line... now does $$(-4/3)(-3)+1/3$$ equal 4 like they claim?

anonymous · Answer

yep, it asks for every true statment(s)

anonymous · Answer

It equals negative four. I think-

anonymous · Answer

4+1/3=13/3

anonymous · Answer

-4*-3=12

anonymous · Answer

12/3=4

anonymous · Answer

oh

anonymous · Answer

so it's not c. i'll leave D you you to check.

anonymous · Answer

okay

anonymous · Answer

D is true.....correct?