Question

Help me plsss I need it by tonight

Answer 1

`y=2x+2`

Explanation:

we know that

The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line.

Verify each case

case 1) we have

`y=2x+2`

Is the equation of a line in slope intercept form

so

Is a straight line and has no exponents higher than 1

therefore

Is a linear equation

case 2) we have

`y=2x^(2)+2`

Is a quadratic equation

Is a curved line and has at least one exponent higher than 1,

therefore

Is a non-linear equation

case 3) we have

`y=2x^(3)+2`

Is a cubic equation

Is a curved line and has at least one exponent higher than 1,

therefore

Is a non-linear equation

case 4) we have

`y=2x^(4)+2`

Is a quartic equation

Is a curved line and has at least one exponent higher than 1,

therefore

Is a non-linear equation