Answer:
4.2 units
Explanations:
The formula for calculating the distance between two coordinate points is expressed as:
![D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/ak1qelegvclwyfd7a2zhaqxzfglhsosdsg.png)
Given the coordinate points (-2 -1) and (-5 -4), the distance between the coordinate points is expressed as:
![\begin{gathered} D=\sqrt[]{(-5-(-2))^2+(-4-(-1))^2} \\ D=\sqrt[]{(-5+2)^2+(-4+1)^2} \\ D=\sqrt[]{(-3)^2+(-3)^2} \\ D=\sqrt[]{9+9} \\ D=\sqrt[]{18} \\ D\approx4.2\text{units} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/j95nj22uefbn23vghy6wb733i1oo8ikish.png)
Hence the distance between the ordered pairs (-2 -1) and (-5 -4) is approximately 4.2 units