Question

Which equation represents a linear function? Equation 1: y = 2x2 + 1 Equation 2: y = 8x + 1 Equation 3: y = 5x3 – 1 Equation 4: y2 = 4x – 1

Answer 1

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

Answer 2

Equation 2:
`y = 8x`

Explanation:

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

the options are:

Equation 1:
`y = 2x^2 + 1`

Equation 2:
`y = 8x`

Equation 3:
`y = 5x^3 - 1`

Equation 4:
`y^2 = 4x - 1`

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.