The distance between the points (7, -5) and (3, -1) is :

1. 4 units

2. 3 units

3. $4{\sqrt2}$ units

4. 5 units

Let (7, -5) = (x₁, y₁) and (3, -1) = (x₂, y₂)

Distance between the given points =

$\sqrt{(x$2 - x1)^2 + (y2 - y1)^2}\\[1em] = \sqrt{(3 - 7)^2 + ((-1) - (-5))^2}\\[1em] = \sqrt{(-4)^2 + (4)^2}\\[1em] = \sqrt{16 + 16}\\[1em] = \sqrt{32}\\[1em] = 4{\sqrt2} \text{units}

Hence, option 3 is the correct option.