Answer:
The length of the line segment: 5.8 units
Step-by-step explanation:
To find the length of a line segment, you must us the formula:
D=![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
1. well, you must first identify your coordinates
Point A is (-2, -4) which is (
,
)
Point B is (1, 1) which is (
,
)
2. Now you put these coordinates into your equation
D=![\sqrt{(1--2)^2+(1--4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%281--2%29%5E2%2B%281--4%29%5E2%7D)
Ofc, you gotta keep in mind of any double negatives
D=![\sqrt{(1+2)^2+(1+4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%281%2B2%29%5E2%2B%281%2B4%29%5E2%7D)
3. simplify
D=![\sqrt{(3)^2+(5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%283%29%5E2%2B%285%29%5E2%7D)
D=![\sqrt{9+25}](https://tex.z-dn.net/?f=%5Csqrt%7B9%2B25%7D)
D=![\sqrt{34}](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D)
The square root of 34 is 5.83095189.... in decimal form
4. Round it to the nearest tenth
5.83 and since 3 is lower than five, it does nothing
5.8= The length of your line segment!