Find the distance between each of pair of points. Round your answer to the nearest tenth, if necessary. -show work. (-4,5), (-1,-1)

Answer 1

Use the distance formula (an application of the Pythagorean Theorem) to solve the problem.

Distance = √[{x2-x1)²+(y2-y1)²]

Distance = √ [ (-1 - - 4)² + (-1 - 5)² ]

Distance = √ [ (3)² + (-6)² ]

Distance = √ [ 9 + 36 ]

Distance = √45 Distance = 3√5

Distance = 6.7

Answer 2

Hi Angle M.,

With a set of points (x₁, y₁) and (x₂, y₂) you can find the distance by d = [ (x₂ - x₁)² + (y₂ - y₁)² ]^1/2.

Let (x₁, y₁) be (-4, 5) and (x₂, y₂) be (-1, -1)

d = [ (-1 - -4)² + (-1 - 5)² ]^1/2 = [ (3)² + (-6)² ]^1/2 = [ 9 + 36 ]^1/2 = [ 45 ]^1/2 = 3*[5]^1/2 = 6.7

I hope this helps, Joe.