Question

Determine the distance of the line segment whose endpoints
are (2, 3) and (2, 9)

Answer 1

Answer:

6 units

Step-by-step explanation:

Given:

• (2, 3)
• (2, 9)

To find the distance between two points, we need to use the distance formula:

• $d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Plug in what you know:

• $= \sqrt{(2-2)^2 + (9-3)^2 }$

Simplify:

• $= \sqrt{(0)^2 + (6)^2 }$

Evaluate the exponents.

• $= \sqrt{(0) + (36) }$

Add.

• $= \sqrt{(36) }$

Evaluate the square root.

• $= 6$

The distance between the two points is 6 units.

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