4 years ago

The graph shown below is a scatter plot:

Mathematics

1 answer:

KengaRu [80]4 years ago

3 0

Point L because it is not in the same pattern as the others. It is on its own.

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Find the value of R so that the line that passes through each pair of points has the given slope: (8, -2 ), (r, -6), m=-4

kondor19780726 [428]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 8}}\quad ,&{{ -2}})\quad 
% (c,d)
&({{ r}}\quad ,&{{ -6}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-6-(-2)}{r-8}=-4
\\\\\\
\cfrac{-6+2}{r-8}=-4\implies -4=-4(r-8)\implies \cfrac{-4}{-4}=r-8\\\\\\ 1+8=r$