Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?

1. it is a linear function because its graph contains the points (0, 0), (1, 0), (2, 8), which are on a straight line.
2. it is a linear function because its graph contains the points (0, 0), (1, 0), (2, 4), which are not on a straight line.
3. it is a nonlinear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
4. it is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64