Question

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

Answer 1

Answer:

Linear

y=-x

$y = \frac{x}{9}$

$- \frac{2}{3}x + 3y = 1$

Non linear

$y = \frac{4}{x}$

$\frac{2}{y} = x$

${x}^{2} + {y}^{2} = 1$

Step-by-step explanation:

Linear equations have the highest degree to be 1.

Therefore y=-x is linear.

$y = \frac{x}{9} \: is \: also \: linear.$

$y = \frac{4}{x} \implies \: xy = 4$

The degree of this equation is 2.

It is non-linear

$- \frac{2}{3}x + 3y = 1$

is also linear.

$\frac{2}{y} = x \implies \: xy = 2....non - linear$

${x}^{2} + {y}^{2} = 1.....non - linear$