Question

Decide whether each of the following is linear or not linear. In each case, explain your answer. 3x+4y2=0

a) Linear
b) Not Linear

Answer 1

The equation 3x + 4y2 = 0 is not linear because it has a degree of 2, not 1.

Step-by-step explanation:

In this case, the equation given is 3x + 4y2 = 0. To determine if it is linear or not, we need to check if the highest power of the variable is 1. In this equation, the highest power is 2, so it is not linear. Linear equations have a degree of 1, meaning that the highest power of the variable is 1.

Example:

y = 2x + 3. This is a linear equation because the degree of the variable x is 1.

In summary, the equation 3x + 4y2 = 0 is not linear because it has a degree of 2, not 1.