What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Solution:

Given, the points are (7, 8) and (-8, 0).

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

The distance formula is given by

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

Here, (x₁, y₁) = (7, 8) and (x₂, y₂) = (-8, 0)

So, distance = \(=\sqrt{(-8-7)^{2}+(0-8)^{2}}\)

= \(\sqrt{(-15)^{2}+(-8)^{2}}\)

= \(\sqrt{225+64}\)

= \(\sqrt{289}\)

= 17

Therefore, the distance between the points is 17 units.

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Summary:

The distance between the points (7, 8) and (-8, 0) on a coordinate grid is 17 units.