Math Snap

STEP 1

Assumptions1. The given function is $y=\frac{}{3}x -3$
. We are looking for a function that has the y-intercept as the given function.

STEP 2

The y-intercept of a function is the value of y when x =0. So, we need to find the y-intercept of the given function.

STEP 3

To find the y-intercept, we substitute x =0 into the given function.
$$y = \frac{2}{3}(0) -3$$

STEP 4

Calculate the y-intercept.
$$y = -3$$

The y-intercept of the given function is -3. Therefore, any function that also has a y-intercept of -3 will satisfy the condition.An example of such a function is $y = x -3$.This is because when x =0, y = -3, which is the same y-intercept as the given function.