What is the distance between (-6, 2) and (8, 10) on a coordinate grid?

Solution:

Given, the points are (-6, 2) and (8, 10)

We have to find the distance between the given points on a coordinate grid.

The distance between the points can be found using the formula,

\(Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

Here, (x₁, y₁) = (-6, 2) and (x₂, y₂) = (8, 10)

\(Distance=\sqrt{(8-(-6))^{2}+(10-2)^{2}}\\=\sqrt{(14)^{2}+(8)^{2}}\\=\sqrt{196+64}\\=\sqrt{260}\)

Therefore, the distance between the given points is √260 units.

What is the distance between (-6, 2) and (8, 10) on a coordinate grid?

Summary:

The distance between (-6, 2) and (8, 10) on a coordinate grid is √260 units.