match each as either linear or non-linear. HELP
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Answer:
Linear
y=-x
[tex]y = \frac{x}{9} [/tex]
[tex] - \frac{2}{3}x + 3y = 1 [/tex]
Non linear
[tex]y = \frac{4}{x} [/tex]
[tex] \frac{2}{y} = x[/tex]
[tex] {x}^{2} + {y}^{2} = 1[/tex]
Step-by-step explanation:
Linear equations have the highest degree to be 1.
Therefore y=-x is linear.
[tex]y = \frac{x}{9} \: is \: also \: linear.[/tex]
[tex]y = \frac{4}{x} \implies \: xy = 4[/tex]
The degree of this equation is 2.
It is non-linear
[tex] - \frac{2}{3}x + 3y = 1[/tex]
is also linear.
[tex] \frac{2}{y} = x \implies \: xy = 2....non - linear[/tex]
[tex] {x}^{2} + {y}^{2} = 1.....non - linear[/tex]