Answer:
y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.
Step-by-step explanation:
We need to find the function that had the same y-intercept as the function [tex]y=\frac{2}{3}x-3[/tex]
(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 [tex]y=\frac{2}{3}x-3[/tex] is written in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Comparing equation [tex]y=\frac{2}{3}x-3[/tex] with [tex]y=mx+b[/tex] we get the value of b = -3
So, y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] 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.
