What is the distance between (-13, 9) and (11, 2) on a coordinate grid?

Solution:

Given, the points are (-13, 9) and (11, 2)

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

The distance formula is given by

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

Here, x₁ = -13, x₂ = 11, y₁ = 9 and y₂ = 2

\(d=\sqrt{(11+13)^{2}+(2 - 9)^{2}}\)

\(d=\sqrt{(24)^{2}+(-7)^{2}}\)

\(d=\sqrt{576+49}\)

d = √625

d = 25

Therefore, the required distance between the given points is 25.

What is the distance between (-13, 9) and (11, 2) on a coordinate grid?

Summary:

The distance between points (-13, 9) and (11, 2) on a coordinate grid is 25 units.