y= 0.5x + 2. is this a linear equation and please explain

Question

Please explain if how to solve this problem to figure out if this is a linear equation.

Answer 1

Linear equation the variable, in this case x is raised to the power of 1. If in an equation, the independent variable is raised to the power of 1, then the function is a linear function.

If the power is not written, then it is 1.

Example:

y = 3x + 5.

x is the independent variable. Its power is 1, because it is not written.

This is a linear function.

 

y=2x²-3x+5.

This is not a linear function, because there is a term in which the independent variable is raised to a different power -2.

Which model your function fits?