Final answer:
The distance between the points (5, -4) and (-3, 4) is 8 units.
Step-by-step explanation:
To find the distance between the points (5, -4) and (-3, 4), we can use the distance formula. The distance formula is given by: 
d = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the points, we get: 
d = √((-3 - 5)^2 + (4 - (-4))^2) = √(64 + 64) = √128 = 8 units
Therefore, the distance between the points (5, -4) and (-3, 4) is 8 units.