Problem
whats the distance between the points (2, -2) and (7, -8)
Solution
For this case we can use the formula for distance given by:
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/be685jmxw05hm2tq94m5iuge2xjynn1hfn.png)
And for this case x1= 2, y1= -2 , x2= 7 , y2=-8
And replacing we got:
![d=\sqrt[]{(7-2)^2+(-8+2)^2}=\sqrt[]{25+36}=\sqrt[]{61}](https://img.qammunity.org/2023/formulas/mathematics/college/7ru0bfbsufxtd3j566o6f1okluuguk91lj.png)
And then the distance for this case would be sqrt (61) = 7.81