Find parametric equations for the line with the given properties.Passing through $( 12,8 )$ and the origin
A) $x = 3 t , y = - \frac { 2 } { 3 } t$

B) $x = 12 t , y = \frac { 3 } { 2 } t$

C) $x = t , y = - \frac { 3 } { 2 } t + 8$

D) $x = \frac { 3 } { 2 } t , y = t + 12$

E)none of these

Question

Find parametric equations for the line with the given properties.Passing through $( 12,8 )$ and the origin
A) $x = 3 t , y = - \frac { 2 } { 3 } t$

B) $x = 12 t , y = \frac { 3 } { 2 } t$

C) $x = t , y = - \frac { 3 } { 2 } t + 8$

D) $x = \frac { 3 } { 2 } t , y = t + 12$

E)none of these

Quizplus · Accepted Answer

The direction vector for the line can be found using the points through which the line passes, here (12, 8) and the origin (0, 0). The direction vector is (12 - 0, 8 - 0) = (12, 8). The parametric equations of the line can be written as $x = 12t + 0$ and $y = 8t + 0$, or simply $x = 12t$ and $y = 8t$, which is not listed among the options provided.

Find Parametric Equations for the Line with the Given Properties (12,8)( 12,8 )(12,8)

Find Parametric Equations for the Line with the Given Properties $( 12,8 )$