1

Problem

Find the length of the line segment between points (2, 4) and (5, 8).

2

Step

Let us the given points \$(x_1, y_1)\$ & \$(x_2, y_2)\$

(2, 4) and (5, 8)

3

Formula

To find the length of the line segment between two points \$(x_1, y_1)\$ and \$(x_2, y_2)\$ in a coordinate system, you can use the distance formula: d = \$\sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\$

4

Step

In this case, the points are (2, 4) and (5, 8). Let’s plug in the values:

d = \$\sqrt((5 - 2)^2 + (8 - 4)^2)\$

\$d = \sqr((3)^2 + (4)^2)\$

\$d = \sqrt (9 + 16) = stem:[\sqrt(25)\$

5

Step

After Simplify the equation:

\$\sqrt(25)\$ = 5

6

Solution

So, the length of the line segment between points (2, 4) and (5, 8) is 5 units.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This is an incorrect answer. The distance between the points is greater than 2

Wrong 2

9

Choice-B

It is correct. The distance formula accurately calculates the length of the line segment between the given points.

Correct 5

10

Choice-C

This is an incorrect answer. The distance between the points is greater than 4

Wrong 4

11

Choice-D

This is an incorrect answer. The distance between the points is greater than 3

Wrong 3

12

Answer

Option

B

13

Sumup

Please summarize choices