Question

Determine the length of the line segment shown. line segment from negative 2 comma 2 to 2 comma negative 1 4 units 5 units 3 units 7 units

Answer 1

The length of the line segment is 3 units.

Let's determine the length of the line segment shown:

`$\sqrt{(-2-(-2))^(2)+(2-(-1))^(2)}$`

We can solve this problem by using the distance formula, which states that the distance between two points (x_1, y_1) and (x_2, y_2) is:

`$√((x_2 - x_1)^2 + (y_2 - y_1)^2)$`

Plugging in the given points, we get:

`$√((-2 - (-2))^2 + (2 - (-1))^2)$`

Simplifying the expression, we get:

`$√((0)^2 + (3)^2)$`

Evaluating the square root, we get:

`$√(9)$`

Therefore, the length of the line segment is 3 units.