Answer:
[tex]y=2x+2[/tex]
Step-by-step 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
[tex]y=2x+2[/tex]
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
[tex]y=2x^{2}+2[/tex]
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
[tex]y=2x^{3}+2[/tex]
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
[tex]y=2x^{4}+2[/tex]
Is a quartic equation
Is a curved line and has at least one exponent higher than 1,
therefore
Is a non-linear equation
