Find an Equation of Y as a Function of X $$x = 2 t + 1 , \quad y = 3 t , \quad t \in [ - 1,3 ]$$

Multiple Choice

Find an equation of y as a function of x for the parametric equations given below by eliminating the parameter. Also, indicate the direction of the curve. $$x = 2 t + 1 , \quad y = 3 t , \quad t \in [ - 1,3 ]$$

A) $y = \frac { 3 } { 2 } x + 1 , \quad - 1 \leq x \leq 7 , \text { left to right }$
B) $y = \frac { 3 } { 2 } x - 1 , \quad - 1 \leq x \leq 7 , \text { left to right }$
C) $y = \frac { 3 } { 2 } ( x - 1 ) , \quad - 1 \leq \mathrm { x } \leq 7 , \text { left to right }$
D) $y = \frac { 3 } { 2 } ( x - 1 ) , \quad - 1 \leq \mathrm { x } \leq 7 , \quad \text { right to left }$