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

B) $x = 12 t , y = 3 t / 2$

C) $x = t , y = - 3 t / 2 + 8$

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) $x = 3 t , y = - 2 t / 3$

B) $x = 12 t , y = 3 t / 2$

C) $x = t , y = - 3 t / 2 + 8$

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

E)none of these

Quizplus · Accepted Answer

A line passing through the origin and another point $(x_1, y_1)$ can be represented in parametric form as $x = x_1t$ and $y = y_1t$, where $t$ is a parameter. For the point $(12, 8)$, the correct parametric equations should be $x = 12t$ and $y = 8t$. None of the given options match this form.

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 $( 12,8 )$