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  • 21-07-2015
  • Mathematics
Answered

Find the value of k so that the line through the given points has slope m.


(2k, 3) and (1, k) ; m=2

Verified Answer :

naǫ
naǫ naǫ
  • 21-07-2015

\((2k,3) \\ x_1=2k \\ y_1=3 \\ \\ (1,k) \\ x_2=1 \\ y_2=k \\ \\ \hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{k-3}{1-2k}\)

The slope is equal to 2.
\(\frac{k-3}{1-2k}=2 \\ k-3=2(1-2k) \\ k-3=2-4k \\ k+4k=2+3 \\ 5k=5 \\ k=\frac{5}{5} \\ \boxed{k=1}\)

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