Question

Is 2x + y =5 linear or nonlinear? Please explain

Answer 1

A generic line function is based on this format:

`y\text{ = ax + b}`

In this case, 2x + y = 5 we have to isolate 'y' to fill the format above:

`y\text{ = -2x + 5}`

a = -2 and b = 5. So that is a linear function. I will show to you other examples that are not linear:

`y=x^2+2x-4^{}`
`y\text{ = }\log _(10)(x)`
`y=\sqrt[]{x}`

These are not linear functions because they are not in the y = mx + b format! m and b can be any real number. If m is equal to zero, the function will be constant! Otherwise, if b is equal to zero, the function will be linear.