Question

1) Dados os pontos A (3,1), B (0,3) e C (-3,5):


a)Verifique se pertencem à mesma reta.

b)Localize os pontos no plano cartesiano e trace a reta.


2)Determine o valor de x de tal forma que A (4,2), B (x,y) e C (1,5) pertencem a mesma reta.

Answer 1

$a) \\ ~~~~ 3~~~1~~1~~~3~~~1 ~~~~~~~~~\to 9-3+0+9-15=18-18 = 0 \\ ~~~~0~~~3~~1~~~0~~~3~~~~~~~~~~~~~~~estao~alinhados. \\ -3~~~5~~1-3~~5 \\ \\b) \\ x~~~y~~~1~~~x~~~y~~~~~~~\to 2x+y+20-2-5x-4y=0\\4~~~2~~~1~~~4~~~2 ~~~~~~~~~~-3x-3y+18=0~~~:(-3)\\1~~~5~~~1~~~1~~~5 ~~~~~~~~~~~~x+y-6=0\to \large\boxed {x=-y+6}\\ \\ o~ valor~de~x~dependera~do~valor~de~y.~ \\ .$