Question

Verifique se o ponto P(2 , 3) pertence à reta r que passsa pelos pontos A(1 , 1) e B(0 , -3)

Answer 1

$\mathsf{m=\dfrac{y_{B}-y_{A}}{x_{B}-x_{A}}}\\\mathsf{m=\dfrac{-3-1}{0-1}=\dfrac{-4}{-1}=4}$

$\mathsf{y=y_{0}+m(x-x_{0})}\\\mathsf{y=-3+4(x-0)}\\\mathsf{y=4x-3}$

quando x=2

$\mathsf{y=4.2-3=5}$

Portanto não pertence.