Distance from the point (-2,4) to the point (3,-5)

Question

Show and tell how could you find the distance from the point (-2,4) to the point (3,-5)?

Is there more than one way to find the distance between the two points?

What mathematical theorems were used to figure ou the problem?

Answer 1

The distance formula for distance between two points

(x₁,y₁), (x₂,y₂) is...

 

d = √[(x₂-x₁)²+(y₂-y₁)²]

 

for distance from (12,4) to (3,-5)

d=√[(3-12)²+(-5-4)²]

  = √[(-9)²+(-9)²]

  = √(81+81)

  = √[81(2)]

  =9√2

Answer 2

Use the distance formula.  You can look it up online.  x1 and x2 are -2 and 3.  y1 and y2 are 4 and -5.  You can solve from there.