The distance of the point P(-6, 8) from the origin is

1. 8 units

2. $2\sqrt{7}$ units

3. 10 units

4. 6 units

Origin (O) = (0, 0) and P = (-6, 8).

By distance formula,

$d = \sqrt{(x$2 - x1)^2 + (y2 - y1)^2} \\[1em] \therefore OP = \sqrt{(-6 - 0)^2 + (8 - 0)^2} \\[1em] = \sqrt{(-6)^2 + 8^2} \\[1em] = \sqrt{36 + 64} \\[1em] = \sqrt{100} \\[1em] = 10 \text{ units}.

Hence, Option 3 is the correct option.