Find a set of parametric equations for the rectangular equation. $t = 2 - x$ $y = 4 x - 2$
A) $x = - t + 4 y = - 4 t + 2$
B) $x = - t + 6 , y = - 4 t + 6$
C) $x = - t + 2 , y = - 6 t + 4$
D) $x = t + 2 , y = - 4 t + 6$
E) $x = - t + 2 , y = - 4 t + 6$

Question

Find a set of parametric equations for the rectangular equation.  $t = 2 - x$ $y = 4 x - 2$ 
A) $x = - t + 4 y = - 4 t + 2$
B) $x = - t + 6 , y = - 4 t + 6$
C) $x = - t + 2 , y = - 6 t + 4$
D) $x = t + 2 , y = - 4 t + 6$
E) $x = - t + 2 , y = - 4 t + 6$

Quizplus · Accepted Answer

To find a set of parametric equations, we can express $x$ and $y$ in terms of a parameter, let's choose $t$. From the given equation $t = 2 - x$, we solve for $x$ to get $x = 2 - t$. Substituting $x = 2 - t$ into $y = 4x - 2$, we get $y = 4(2 - t) - 2 = 8 - 4t - 2 = -4t + 6$. Therefore, the parametric equations are $x = -t + 2$ and $y = -4t + 6$, which matches choice E.

Find a Set of Parametric Equations for the Rectangular Equation t=2−xt = 2 - xt=2−x

Find a Set of Parametric Equations for the Rectangular Equation $t = 2 - x$