Question

Find the distance between the two points in simplest radical form.
(-9,8) and (-3, -1)

Answer 1

The distance between (-9, 8) and (-3, -1) will be:

`\:d=3√(13)` units

Explanation:

Given the points

• (-9, 8)

• (-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

`d\:=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

`=√(\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2)`

`=√(\left(-3+9\right)^2+\left(-1-8\right)^2)`

`=√(36+81)`

`=√(117)`

`=3√(13)` units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

`\:d=3√(13)` units