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

1 answer

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
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