Question

Match each as either linear or non-linear. HELP​

Answer 1

Linear

y=-x

`y = (x)/(9)`

`- (2)/(3)x + 3y = 1`

Non linear

`y = (4)/(x)`

`(2)/(y) = x`

`{x}^(2) + {y}^(2) = 1`

Explanation:

Linear equations have the highest degree to be 1.

Therefore y=-x is linear.

`y = (x)/(9) \: is \: also \: linear.`

`y = (4)/(x) \implies \: xy = 4`

The degree of this equation is 2.

It is non-linear

`- (2)/(3)x + 3y = 1`

is also linear.

`(2)/(y) = x \implies \: xy = 2....non - linear`

`{x}^(2) + {y}^(2) = 1.....non - linear`