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What is the distance between (2, -2) and (-8, -2)?

User Dank
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1 Answer

9 votes

Given:

  • (2, -2)
  • (-8, -2)

To find: The distance between the two points.

Answer:

Formula to find the distance:


\sf Distance\ =\ √(\Bigg(x_2\ -\ x_1\Bigg)^2\ +\ \Bigg(y_2\ -\ y_1\Bigg)^2)

From the given data, we have:

  • x₁ = 2
  • x₂ = -2
  • y₁ = -8
  • y₂ = -2

Using them in the formula,


\sf Distance\ =\ √(\Bigg(-8\ -\ 2\Bigg)^2\ +\ \Bigg(-2\ -\ (-2)\Bigg)^2)\\\\\\\\Distance\ =\ √(\Bigg(-10\Bigg)^2\ +\ \Bigg(-2\ +\ 2\Bigg)^2)\\\\\\\\Distance\ =\ √(100)\ =\ \bf 10\ units.

Therefore, the distance between (2, -2) and (-8, -2) is 10 units.

Hope it helps. :)

User Darcyparker
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