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jaxref11 jaxref11
  • 27-08-2016
  • Mathematics
Answered

find the value of k for which the slope of the line through (-2,k) and (5,3k-4) is 8

Verified Answer :

dalendrk
dalendrk dalendrk
  • 27-08-2016

\(A(x_1;\ y_1);\ B(x_2;\ y_2)\\The\ slope\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2;\ k);\ (5;\ 3k-4);\ m=8.\\\\Subtitute:\\\\\dfrac{3k-4-k}{5-(-2)}=8\\\\\dfrac{2k-4}{7}=8\ \ \ \ \ |multiply\ both\ sides\ by\ 7\\\\2k-4=56\ \  \ \ |add\ 4\ to\ both\ sides\\\\2k=60\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{k=30}\)

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