Solution:
A linear function is a straight line formed on a coordinate plane.
To classify an equation as a linear function:
- It must not have any exponent in the equation.
- If there is a fraction, the denominator of that fraction must not multiply by x.
If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.
Option A - y = x³ + 1:
- This equation has an exponent in the variable x. Hence, this is a non-linear function.
Option B - 5x/6 = y - 4:
- This equation has no exponents in the equation. Hence, this is a linear function and also our answer.
Option C - y = 8x²
- This equation has an exponent in the term 8x². Hence, this is a non-linear function.
Option D - y = 1/5x
- The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.
Hence, Option B is correct.
Learn more about linear functions: https://brainly.com/question/15253497
