Find a set of parametric equations for the rectangular equation $y = 2 x - 3 \text { that }$ satisfies the condition $t = 0$ at the point $( 2,1 )$.
A) $x = t , y = 3 t ^ { 2 } - t - 3$
B) $x = t + 2 , y = 3 t ^ { 2 } + t - 5$
C) $x = t - 2 , y = 2 t + 1$
D) $x = t + 2 , y = 2 t + 1$
E) $x = t , y = 2 t - 3$

Question

Quizplus · Accepted Answer

For the given rectangular equation $y = 2x - 3$, we need parametric equations that satisfy $t = 0$ at the point $(2,1)$. The correct parametric equations are $x = t + 2$ and $y = 2t + 1$. When $t = 0$, $x = 2$ and $y = 1$, which matches the given condition.

Find a Set of Parametric Equations for the Rectangular Equation y=2x−3 that y = 2 x - 3 \text { that }y=2x−3 that

Find a Set of Parametric Equations for the Rectangular Equation $y = 2 x - 3 \text { that }$