Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations.
-$$x = - 3 t + 3 , y = 4 t - 6 ; t = - 4$$
A) $( 9 , - 10 )$
B) $( 0 , - 2 )$
C) $( 15 , - 22 )$
D) $( - 4 , - 6 )$

Question

Quizplus · Accepted Answer

Substituting $t = -4$ into the parametric equations $x = -3t + 3$ and $y = 4t - 6$, we get $x = -3(-4) + 3 = 12 + 3 = 15$ and $y = 4(-4) - 6 = -16 - 6 = -22$. Therefore, the ordered pair that lies on the graph is $(15, -22)$.

Considering the Given Value of T, Choose the Ordered Pair x=−3t+3,y=4t−6;t=−4x = - 3 t + 3 , y = 4 t - 6 ; t = - 4x=−3t+3,y=4t−6;t=−4

Considering the Given Value of T, Choose the Ordered Pair $x = - 3 t + 3 , y = 4 t - 6 ; t = - 4$