What is the distance between (–6, 2) and (8, 10) on a coordinate grid? mc017-1.jpg mc017-2.jpg mc017-3.jpg mc017-4.jpg

Ans: Distance = 16.1

Let us consider point A with coordinates (x1,y1) and point B with coordinates (x2,y2)

The distance between the two points is given as:

d(A,B) = √(x2-x1)² +  (y2-y1)²

Here: (x1,y1) = (-6,2)

(x2,y2) = (8,10)

d = √(8-(-6))² + (10-2)²

   = √196+64 = √260 = 16.1

The distance between  (–6, 2) and (8, 10) is 2√65

The distance formula is used to calculate the distance between two points(x₁, y₁)(x₂, y₂).

Therefore,

x₁ = -6

x₂ = 8

y₁ = 2

y₂ = 10

Therefore,

d = √(8+6)²+(10-2)²

d = √(14)² + (8)²

d = √196 + 64

d = √260

d = √4 × 65

d = 2√65

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