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I need some help to tell whether a table is a linear or non linear function

User TekBlues
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1 Answer

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A linear equation has the form:


y=mx+b

Let's find a linear equation using the table, and let's check if it satisfy all the points:


\begin{gathered} x=0,y=-1 \\ -1=b \\ ------ \\ x=1,y=1 \\ 1=m+b \\ 1=m-1 \\ m=2 \end{gathered}

so:


y=2x-1

Let's check the other points:


\begin{gathered} x=-3 \\ y=2(-3)-1=-6-1=-7_{\text{ }}True \\ ------ \\ x=-2 \\ y=2(-2)-1=-4-1=-5_{\text{ }}True \\ ------ \\ x=-1 \\ y=2(-1)-1=-2-1=-3_{\text{ }}True \end{gathered}

Therefore, we can conclude it is a linear function.

User William Smith
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