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 $( 6,4 )$
A) $x = - 6 t , y = 4 t$
B) $x = 4 t , y = 6 t$
C) $x = 6 t , y = - 4 t$
D) $x = 6 t , y = 4 t$
E) $x = - 4 t , y = - 6 t$

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 $( 6,4 )$ 
A) $x = - 6 t , y = 4 t$
B) $x = 4 t , y = 6 t$
C) $x = 6 t , y = - 4 t$
D) $x = 6 t , y = 4 t$
E) $x = - 4 t , y = - 6 t$

Quizplus · Accepted Answer

Using the given formula, we can plug in the values:

$$x = 0 + t(6-0) = 6t$$
$$y = 0 + t(4-0) = 4t$$

Therefore, the set of parametric equations for the line passing through $(0,0)$ and $(6,4)$ is $$x = 6t, y = 4t$$

So, the best choice is D.

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