Question

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

Answer 1

Answer:

Linear : $y=22-5x$

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

Step-by-step 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.