Question

Fie dreapta d : x=1-4t ; y = 3+t,unde t ∈ R si $Mt(1-4t,3+t)$ un punct al dreptei d .
a. Se cer coordonatele punctelor $M _{3} ,M _{-1},M _{0},M _{10}$
c.Care din punctele A(-3 , 4 ) , B ( 1, 1 ) , C ( 9 ,1 ) , D (3 , 8 ) apartine dreptei d ?

Doresc si explicatia , va rog.
Multumesc !

Answer 1

$\it x = 1-4t, \ \ \ \ y=3+t,\\\;\\M_t=(1-4t,\ 3+t)$

$\it M_3(1-4\cdot3,\ 3+3) \Longrightarrow M_3(-11,\ 6)$

[tex]\it M_{-1} (1-4\cdot(-1),\ 3+(-1)) \Longrightarrow M_{-1}(5,\ 2) \\\;\\ \it M_0 (\it1-4\cdot0,\ \ 3+0) \Longrightarrow M_0(1, 3) [/tex]