Respuesta :

Equation 2 is the only linear one due to the fact that there is no exponent on the x or y values. 

Answer:

Equation 2: [tex]y = 8x[/tex]

Step-by-step explanation:

A linear function or equation is one in which the variables involved have no exponents other than 1.

the options are:

Equation 1: [tex]y = 2x^2 + 1[/tex]

Equation 2: [tex]y = 8x[/tex]

Equation 3: [tex]y = 5x^3 - 1[/tex]

Equation 4: [tex]y^2 = 4x - 1[/tex]

Equation 1 has a quadratic exponent, the same for Equation 4.

And Equation 3 has a cubic exponent.

So the only equation that is linear is the Equation 2, because there are no exponents other than 1 in the expression.