Question

Y=2^x y=2x-5 y= x^2+6 y= x/2 Identify one linear equation and one nonlinear equation from the list. State a reason why each equation you identified is linear or nonlinear

Answer 1

Linear equation: y=2x-5

Nonlinear equation: y= x^2+6

Explanation:

One linear equation from the list is y=2x-5

One nonlinear equation from the list is y= x^2+6

y=2x-5 is a linear equation because the equation has a maximum degree of 1

while y= x^2+6 is a nonlinear equation because it has a degree of 2.

NOTE: A linear equation has a degree of 1 and forms a straight line while a nonlinear equation has the degree as 2 or more than 2 and forms a curve.