Given:
To find: The distance between the two points.
Answer:
Formula to find the distance:
[tex]\sf Distance\ =\ \sqrt{\Bigg(x_2\ -\ x_1\Bigg)^2\ +\ \Bigg(y_2\ -\ y_1\Bigg)^2}[/tex]
From the given data, we have:
- x₁ = 2
- x₂ = -2
- y₁ = -8
- y₂ = -2
Using them in the formula,
[tex]\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.[/tex]
Therefore, the distance between (2, -2) and (-8, -2) is 10 units.
Hope it helps. :)
