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
Answers
                    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
    
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.
    
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
    
so we could just go ...
(x+8)/2 = (y-4)/3 = z -7
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