Asked by #1


Find symmetric equations for the line. (Use the parameter t.)

The line through
(−8, 4, 7)
and parallel to the line
x/2= y/3= z+1
Answered by oobleck
well, the given line goes through (0,0,-1) right?
Answered by Reiny
The new line must have the same direction as x/2 = y/3 = z+1, which means that the new line must have direction (2,3,1) and must pass through the point (−8, 4, 7).

parametric equations of new line:
x = -8 + 2t
y = 4 + 3t
z = 7 + 1

The fact that (0,0,-1) in on the given line, has no impact on the new line
Answered by oobleck
no, it does not. But the given symmetric equations can be used as a model for the desired equations. (not parametric, btw)

which can also be derived from yours, by eliminating t.
Answered by Reiny
missed the "symmetric" part and assumed parametric, by bad

so we could just go ...

(x+8)/2 = (y-4)/3 = z -7