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kykrilka [37]
3 years ago
15

How can I tell if something is linear or nonlinear?

Mathematics
2 answers:
Effectus [21]3 years ago
6 0

Linear growth means that the y value increases by the same amount for each increase in the x value.

Example:

y=2x

y increases by 2 for every increase in x.

This will be a straight line when graphed.

Counter-example:

y=x^2

y increases by a different amount for each increase in x.

This will be a curved line when graphed.

Anni [7]3 years ago
5 0

Answer:

When something is linear it will meet the criteria, on a graph it will be a straight line, it won't have any curves in it.

When something is nonlinear it doesn't fit the criteria, on a graph it will be curved, never straight

Hope this helps ;)

Step-by-step explanation:

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\bf (\stackrel{a}{-20},\stackrel{b}{-21})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-20}\\ b=\stackrel{opposite}{-21}\\ \end{cases} \\\\\\ c=\sqrt{(-20)^2+(-21)^2}\implies c=\sqrt{841}\implies c=29 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-20}}{\stackrel{hypotenuse}{29}}~\hfill

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