Answer:
The length for segment AB is 5 units
Explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
![d=√((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/56st313bklvuad5kmg37orzosnah8k5ru7.png)
We must find the length for the segment AB. The coordinates of the endpoints are A(-3,2) B(0,6).
Calculating the distance:
![d=√((0+3)^2+(6-2)^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/9yxie8vvvenh2pe1rfz4j5k5tilmwovte9.png)
![d=√(3^2+4^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/f8s686rs9pobrgq8wvxohg0izu5e0kcl9z.png)
![d=√(9+16)](https://img.qammunity.org/2022/formulas/mathematics/high-school/4p7pmzbwkf5afady8z1hgov2cqiz3ybiab.png)
![d=√(25)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ju1k9n5tzutb204ma3o41qjcdoz8ede8gc.png)
d = 5 units
The length for segment AB is 5 units