Answer:
4.5 units
Explanations:
6) The formula for finding the distance between two 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 (1, 5) and (3, 1). Substitute into the formula to have:
![\begin{gathered} D=\sqrt[]{(1_{}-5)^2+(3-1)^2} \\ D=\sqrt[]{(-4_{})^2+(2)^2} \\ D=\sqrt[]{16+4} \\ D=\sqrt[]{20} \\ D\approx4.5\text{units} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mbv36wko6uiigpzapdvku59h2442xprcpv.png)
Therefore the distance between the coordinate points (1, 5) and (3, 1) is 4.5 units