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

The distance between any two points P₁(x₁, y₁) and P₂(x₂, y₂) is given by the following formula:

From the question we have,

⇒ P₁(x₁, y₁) = (0, 0)…………co-ordinates of origin

⇒ P₂(x₂, y₂) = (-6, 8)…………co-ordinates of point

⇒

⇒ d = √(36 + 64 )

⇒ d = √100

⇒ d = 10 units

Therefore the distance between the point and origin is 10 units.