Question

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

Answer 1

Given:

• (2, -2)
• (-8, -2)

To find: The distance between the two points.

Answer:

Formula to find the distance:

$\sf Distance\ =\ \sqrt{\Bigg(x_2\ -\ x_1\Bigg)^2\ +\ \Bigg(y_2\ -\ y_1\Bigg)^2}$

From the given data, we have:

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

Using them in the formula,

$\sf Distance\ =\ \sqrt{\Bigg(-8\ -\ 2\Bigg)^2\ +\ \Bigg(-2\ -\ (-2)\Bigg)^2}\\\\\\\\Distance\ =\ \sqrt{\Bigg(-10\Bigg)^2\ +\ \Bigg(-2\ +\ 2\Bigg)^2}\\\\\\\\Distance\ =\ \sqrt{100}\ =\ \bf 10\ units.$

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

Hope it helps. :)