find symmetric equations for the line through the point parallel to the specified line.

Question

(1, -1, 2)
parallel to
x = -7 -4t
y = -5-7t
z = 2- 4t

Answer 1

the line through (1,-1,2) is

(x-1)/a = (y+1)/b = (z-2)/c

and <a,b,c> is the desired direction vector.

Note that your parametric equations can be converted to symmetric by eliminating t:

(x+7)/-4 = (y+5)/-7 = (z-2)/-4

That should be a large enough clue, no?