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# Parametric Equations

MVCALC-EJYBUS

What are the parametric equations of the line that passes through the point $P=(2,-1,4)$ and is parallel to the vector ${\bf v}=\langle 3,1,-5 \rangle$?

A

$x=3+2t, \qquad y=1-t, \qquad z=5-4t$

B

$3x+y-5z+15=0$

C

$x=2+3t, \qquad y=-1+t, \qquad z=4-5t$

D

$\frac{x-2}{3} =y+3 =\frac{z-4}{-5}$

E

$3(x-2)+(y+1)-5(z-4)=0$