From Wikipedia World file, with a real world file the generic meaning of the six parameters are
3.0384141414141403 A: x-component of the pixel width (x-scale)
0 D: y-component of the pixel width (y-skew)
0 B: x-component of the pixel height (x-skew)
-3.0384143049932475 E: y-component of the pixel height (y-scale), typically negative
249090.9532070707 C: x-coordinate of the center of the upper left pixel
142689.2657928475 F: y-coordinate of the center of the upper left pixel
in a simple way, if you know the size of the .tiff file (width and height) you can compute the A,E,C,F parameters, but not D and B (usually 0, no rotation).
width, heigth = (990,741)
xul,yul = ( 249089.434, 142690.785) -> coordinates of the upper left corner
xlr,ylr = ( 252097.464, 140439.320) -> coordinates of the lower rigth corner
A = (xlr-xul)/width -> 3.0384141414141403
E = (ylr-yul)/height -> -3.0384143049932475
center of the upper left pixel
C = xul + (A * .5) -> 249090.9532070707
F = yul + (E * .5) -> 142689.2657928475
But formally, you need to compute a six-parameter affine transformation