The given line is in point-slope form. Replace the point values with the new point and you will have your parallel line. Solve for y by adding the opposite of the constant on the left.
y - 32 = 4(x - 4) . . . . point (-3, 1) replaced with point (4, 32)
y = 4x + 16 . . . . . . . add 32 to both sides of the equation and simplify
The minimum value of the function is (-4, -9).
That's a pretty confusing one. I think it's 10 minutes.