Question

Find the distance between each pair of points. Round to the nearest tenth if necessary.

(-3, 6) (2,1)

Answer 1

The distance between the two points is about 7.1 units.

Explanation:

We want to find the distance between the two points (-3, 6) and (2, 1).

To find the distance between any two points, we can use the distance formula:

`\displaystyle d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:

`\displaystyle d=√(((2)-(-3))^2+((1)-(6))^2)`

Simplify:

`\displaystyle d=√((5)^2+(-5)^2)`

Evaluate:

`d=√(25+25)=√(25(2))=5√(2)\approx 7.1\text{ units}`

The distance between the two points is about 7.1 units.