Question

Are the equation linear or nonlinear?​

Answer 1

Results below

Explanation:

Equation of the line

A straight line can be written in the form:

y = ax + b

Where a and b are constants and x is the independent variable.

The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.

From the equations presented in the table:

`y = x^1+2` is linear because the exponent of the x is 1

y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.

y = x is linear with a=1 and b=0

`y = x^2+1` is not linear because the exponent of x is 2

`y = x(x) = x^2` is not linear because the exponent of x is 2

The table below summarizes the results