Respuesta :

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!