Question

Which function had the same y-intercept as the function y= 2/3 x-3

Answer 1

y-intercept of the function
`y=(2)/(3)x-3` is -3.

Explanation:

We need to find the function that had the same y-intercept as the function
`y=(2)/(3)x-3`

(Note: Since the options are not given, so I will find the y-intercept of the given equation and you can match it with the functions and find the y-intercept of the required function)

The equation given
`y=(2)/(3)x-3` is written in slope-intercept form i.e
`y=mx+b` where m is slope and b is y-intercept.

Comparing equation
`y=(2)/(3)x-3` with
`y=mx+b` we get the value of b = -3

So, y-intercept of the function
`y=(2)/(3)x-3` is -3.

Now, for the options (not included) in the question, you can find y-intercept and function that have y-intercept = -3 will be the answer.