Question

Whats linear and non linear? y=22−5x y=x3 y=x3+13

Answer 1

Linear :
`y=22-5x`

Non linear :
`y=x^3\ and\ y=x^3+13`

Explanation:

Given:

The equations given are:

`y=22-5x`

`y=x^3`

`y=x^3+13`

Now, a linear equation is of the form:

`y=mx+b`

Where, 'm' and 'b' are real numbers and 'm' not equal to 0.

The highest exponent of 'x' in a linear equation is always 'one'.

Therefore, if the exponent of 'x' in an equation is anything other than 'one', then the equation is a nonlinear equation.

The equation
`y=22-5x` can be rewritten as:

`y=-5x+22`

The above equation is of the form of a linear equation with
`m=-5\ and\ b=22`. So, this represents a linear equation.

The other two equations have exponent 3 for 'x' which is not '1'. So, these equations are nonlinear equations.