Question

I am so confused I don't even know which one to choose how to come to the answer

Answer 1

`y=(1)/(9)x-(1)/(3)`

Step-by-step explanation:

The equation of a line in slope-intercept form is given by

`y=mx+b`

where m = slope and b = y-intercept.

Now in our case, the equation we have is

`y+(1)/(3)=(1)/(9)x`

to change it to the slope-intercept form, we have to do some subtraction.

We subtract 1/3 from both sides to get

`y+(1)/(3)-(1)/(3)=(1)/(9)x-(1)/(3)`

the 1 /3 's cancel from the left-hand side, leaving us with

`\boxed{y=(1)/(9)x-(1)/(3)}`

Note that the equation above is now in slope-intercept form. The slope, if one is curious, is 1/9 and the y-intercept is - 1/3.

Now, looking at the answer choices given, we see that the option at the very bottom ( the5th choice) matches what we got above. Therefore, the fifth answer choice is the correct option to choose.