What is the slope of the function, represented by the table of values below?

1 answer:

8 0

Notice the table of values, thus let's pick two points from it, to check what the slope may be,

$\bf \begin{array}{l|ccccccc}
x&-2&\underline{1}&2&\underline{4}&7\\
y&16&\underline{4}&0&\underline{-8}&-20
\end{array}\\\\
-------------------------------$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 1}} &,&{{ 4}}~) 
% (c,d)
&&(~{{ 4}} &,&{{ -8}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-4}{4-1}\implies \cfrac{-12}{3}\\\\\\ \cfrac{-4}{1}\implies -4$

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