Question

Determine the length of the line segment shown.

graph of line segment from negative 3 comma negative 2 to 0 comma 2

4 units
5 units
10 units
25 units

Answer 1

To determine the length of a line segment, we can use the distance formula.

The distance formula is given by:

\[d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\]

In this case, the coordinates of the first point are (-3,-2) and the coordinates of the second point are (0,2).

Using the distance formula, we get:

\[d = \sqrt{(0-(-3))^2 + (2-(-2))^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\]

Therefore, the length of the line segment is 5 units.

The correct answer is: \boxed{5 \text{ units}}.