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worty [1.4K]
3 years ago
11

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

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0
\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
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