Question

Find the parametric equations of line l which passes through D(-6,7,2) and is parallel to vector a=<2,-4,5>.

I am really not sure where to start aside from graphing

Answer 1

@Aenn88 you have the required line parallel with a. Therefore, you can consider a as direction vector of the required line.
you have formula to get the parametric equation from direction vector <a, b, c> and a point \(x_1,y_1,z_1\)
It says, x = \(x_1\) +at
y =\(y_1\)+ bt
z= \(z_1\)+ct
your "direction vector is <2,-4,5>
your point is (-6,7,2)
just replace them into the set of equation above. How is it hard?

Answer 2

thank you for the explanation. I didn't have a formula..

Answer 3

nope no formula. thanks :))

Answer 4

ha i wish