Question

State the degree of each of the following and identify it as a linear or non-linear relation.

a. y = x2 + 2x + 1 b. 3x + 3y = 6

Answer 1

a) Degree of 2; non-linear

b) Degree of 1; linear

Explanation:

a) The degree is the highest power of the variable in the given equation:

Given y = x^2 + 2x + 1

From the given equation, we can see that the highest power of x is 2. Hence the degree of the equation is 2.

Any equation with degrees of 2 and above is a non-linear equation. Hence the equation is a non-linear equation

b) For the equation 3x + 3y = 6

Divide through by 3

x + y = 2

From the given equation, we can see that the highest power of x and y is 1. Hence the degree of the equation is 1.

Any equation with a degree of 1 is a linear equation. Hence the equation is a linear equation