Question

(-4,2), (5,1)Find the distance between 2 points

Answer 1

Given:

`\begin{gathered} A(x_1,y_1)=(-4,2) \\ B(x_2,y_2)=(5,1) \end{gathered}`

To find- the distance between A and B.

Explanation-

The distance formula is given below-

`=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute the values, and we get

`\begin{gathered} =√((5-(-4))^2+(1-2)^2) \\ =√((5+4)^2+(-1)^2) \end{gathered}`

On further solving, we get

`\begin{gathered} =√(9^2+1^2) \\ =√(81+1) \\ =√(82) \\ =9.055 \end{gathered}`

The square root of 82 is done below-

Hence, the distance between (-4,2), and (5,1) is 9.055.

The answer is 9.055.