Question

Hello, I need help with this practice problem. Thank you so much.

Answer 1

5 units

Explanation:

Given the points:

`\begin{gathered} \mleft(x_1,y_1\mright)=K(-2,-1) \\ \mleft(x_2,y_2\mright)=N(2,2) \end{gathered}`

We use the distance formula below:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute the given values:

`\begin{gathered} KN=\sqrt[]{(2-(-2))^2+(2-(-1))^2} \\ =\sqrt[]{(2+2)^2+(2+1)^2} \\ =\sqrt[]{(4)^2+(3)^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5\text{ units} \end{gathered}`

The distance between the two points is 5 units.