Answer:
3
Step-by-step explanation:
[tex]y=\frac{2}{3}x +1[/tex]
If [tex]x[/tex] is 3, then
[tex]y =\frac{2}{3}(3) +1[/tex]
[tex]y=2+1[/tex]
[tex]y=3[/tex]
Both [tex]x[/tex] and [tex]y[/tex] equal 3. So, the value of [tex]x[/tex] must be 3 for the function to have the same coordinate for [tex]x[/tex] and [tex]y[/tex].