Determine the length of the line segment shown.
line segment from negative 5 comma 5 to 3 comma negative 1
a) 6 units
b) 8 units
c) 10 units
d) 36 units
To find the length of a line segment, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
√((x2 - x1)² + (y2 - y1)²)
In this case, the two points are (-5, 5) and (3, -1).
Using the distance formula, we have:
√((3 - (-5))² + (-1 - 5)²)
= √((3 + 5)² + (-1 - 5)²)
= √(8² + (-6)²)
= √(64 + 36)
= √100
= 10
Therefore, the length of the line segment is 10 units. Answer: c) 10 units.