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=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. well, you must first identify your coordinates
Point A is (-2, -4) which is ([tex]x_1[/tex], [tex]y_1[/tex])
Point B is (1, 1) which is ([tex]x_2[/tex], [tex]y_2[/tex])
2. Now you put these coordinates into your equation
D=[tex]\sqrt{(1--2)^2+(1--4)^2}[/tex]
Ofc, you gotta keep in mind of any double negatives
D=[tex]\sqrt{(1+2)^2+(1+4)^2}[/tex]
3. simplify
D=[tex]\sqrt{(3)^2+(5)^2}[/tex]
D=[tex]\sqrt{9+25}[/tex]
D=[tex]\sqrt{34}[/tex]
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!