Among the options given only option 4 shows the linear function which is given by
[tex]\rm \dfrac{2}{3} x = y-1[/tex]
hence option 4 is correct.
According to the given question
We have to identify the linear function among the options given
[tex]\;\rm y= 3x^2\\y = 1/(3x)\\y = x^3 + 5 \\\dfrac{2}{3}x = y-1[/tex]
A linear function is a equation of straight line with highest degree of variable is 1 .
[tex]\rm y = 3x^2[/tex] is a second degree polynomial function .
[tex]\rm y = 1/(3x)[/tex] is also a second degree polynomial function .
[tex]\rm y = x^3 +5[/tex] is a third degree polynomial function.
Among the options given only option 4 shows the equation of a straight line which is shown in equation (1)
[tex]\rm \dfrac{2}{3}x = y-1\\2x = 3y -3....(1) \\equation \; (1 )\; represents\; equation\; of \; a \; straight\; line[/tex]
So we can conclude that option 4 is correct.
For more information please refer to the link given below
https://brainly.com/question/20193424
