Question

Find the distance between of the two points (-4,-2) (2,3)

Answer 1

`7.81`

Step-by-step explanation

We want to find the distance between (-4,-2) and (2,3)

To do that, we apply the formula for distance between two points:

`D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

where (x₁, y₁) and (x₂, y₂) are the two points.

Therefore, the distance between the two points is:

`\begin{gathered} D=\sqrt[]{(2-(-4))^2+(3-(-2))^2} \\ D=\sqrt[]{(2+4)^2+(3+2)^2} \\ D=\sqrt[]{6^2+5^2}=\sqrt[]{36+25} \\ D=\sqrt[]{61} \\ D=7.81 \end{gathered}`