Question

Help 25 points TYYYYY!!!!!!!!!!

Determine the length of the line segment shown.

graph of line segment from negative 5 comma negative 8 to 0 comma 4

13 units
39 units
100 units
169 units

Answer 1

To find the length of the line segment, we can use the distance formula:

d = √[(x2 - x1)² + (y2 - y1)²]

Using the given coordinates:

x1 = -5, y1 = -8

x2 = 0, y2 = 4

d = √[(0 - (-5))² + (4 - (-8))²]

d = √[5² + 12²]

d = √(169)

d = 13

Therefore, the length of the line segment is 13 units.

The answer is 13 units.

Answer 2

Answer: 13 (units)

Explanation:

Pythagorean Theorem

x distance = 0 - (-5) = 5 (x)

y distance = 4 - (-8) = 12 (y)

d (distance) =
`√(x^2 + y^2 )` =
`√(25 + 144)` = 13

13 (units)