Answer:
Given that,
To find the distance between the points (2,2) and (-2,-1)
we know that,
Distance formula,
The distance between the two points (x1,y1) and (x2,y2) is,
![\sqrt[]{(x1-x2)^2+(y1-y2)^2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/nkc05yjixaeivr82jnwd7nsc6fznc5ijh7.png)
Substitute the value we get,
the points (2,2) and (-2,-1)
![=\sqrt[]{(2-(-2))^2+(2-(-1))^2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/cblw3hmaoh4by6juapx9xhsp3zwp2xxfv9.png)
![=\sqrt[]{(2+2)^2+(2+1)^2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1xrfqg5f21k69eo6e1ngl63ug19tn76l76.png)
![=\sqrt[]{(4)^2+(3)^2}^{}](https://img.qammunity.org/2023/formulas/mathematics/high-school/v2l4veure43uh5glsldd3vz8qqc594g6av.png)
![=\sqrt[]{16+9}=\sqrt[]{25}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1nd4tgwjeez6n4p0g0fbog9okl2l22dedz.png)
![=\sqrt[]{25}=5](https://img.qammunity.org/2023/formulas/mathematics/high-school/esg3jcl66w93dkm2u3uxkyxt04qg62a35i.png)
Answer is: The distance between the point (2,2) and (-2,-1) is 5 units.