The formula of the distance between two points (x1, y1) and (x2, y2) is
![d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/1h551ypq5weta3sw0dynfch7nxiwrgmnba.png)
Since the two given points are (-1, 5) and (2, 9), then
x1 = -1 and x2 = 2
y1 = 5 and y2 = 9
Substitute them in the formula above to find the distance between them
![d=\sqrt[]{(2--1)^2+(9-5)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/jhpk2qn1k0plcfxwh631vrrl4943mdpklr.png)
Remember (-) x (-) = (+)
![\begin{gathered} d=\sqrt[]{(2+1)^2+(4)^2} \\ d=\sqrt[]{(3)^2+16} \\ d=\sqrt[]{9+16} \\ d=\sqrt[]{25} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/k8o8ocsds7mafvnub1p36x7gnau5pflsoc.png)
Find the value of the square root
![\begin{gathered} d=\sqrt[]{25} \\ d=5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lrq6tcyfmul30dp70h23yjrzrzroz38hdn.png)
The distance between the 2 points is 5 units