Using following result find a set of parametric equation of the line.
$x = x _ { 1 } + t \left( x _ { 2 } - x _ { 1 } \right) , y = y _ { 1 } + t \left( y _ { 2 } - y _ { 1 } \right)$
Line: passes through $( 0,0 )$ and $( 9,2 )$
A) $x = 2 t , y = 9 t$
B) $x = 9 t , y = - 2 t$
C) $x = - 2 t , y = - 9 t$
D) $x = - 9 t , y = 2 t$
E) $x = 9 t , y = 2 t$

Question

Using following result find a set of parametric equation of the line. 
$x = x _ { 1 } + t \left( x _ { 2 } - x _ { 1 } \right) , y = y _ { 1 } + t \left( y _ { 2 } - y _ { 1 } \right)$
Line: passes through $( 0,0 )$ and $( 9,2 )$ 
A) $x = 2 t , y = 9 t$
B) $x = 9 t , y = - 2 t$
C) $x = - 2 t , y = - 9 t$
D) $x = - 9 t , y = 2 t$
E) $x = 9 t , y = 2 t$

Quizplus · Accepted Answer

Using the given formula, we have:
$x=x_1+t(x_2-x_1)=0+t(9-0)=9t$
$y=y_1+t(y_2-y_1)=0+t(2-0)=2t$
Thus, the set of parametric equations is $x=9t$ and $y=2t$, which matches choice (E).

Using Following Result Find a Set of Parametric Equation of the Line