Question

Descubra o valor de k para que os pontos A=(1,3), B=(4,7) e C=(9,K) estejam alinhados.
urgente por favor

Answer 1

$\huge\mathtt{\begin{vmatrix}1&3&1\\4&7&1\\9&k&1\end{vmatrix}=0}$

$\mathtt{1(7-k)-3(4-9)+1(4k-63)=0}$

$\mathtt{7-k+15+4k-63=0}$

$\mathtt{4k-k=63-15-7}$

$\mathtt{3k=41}$

$\huge\boxed{\boxed{\mathtt{k=\dfrac{41}{3}}}}$