Determine the length of the line segment shown.
graph of line segment from negative 3 comma negative 2 to 0 comma 2
a) 4 units
b) 5 units
c) 10 units
d) 25 units
To determine the length of a line segment, we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the endpoints of the line segment are (-3, -2) and (0, 2). Plugging these values into the distance formula, we get:
d = sqrt((0 - (-3))^2 + (2 - (-2))^2)
d = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5
Thus, the length of the line segment is 5 units.
Therefore, the correct answer is:
b) 5 units