Find the length of the segment MN with endpoint M at ( 2, -3) and N at ( 8, 5 ). Round your answer to the nearest tenth, if necessary.

Could somebody explain how to do this please?

1 answer

The length of the segment MN can be found using the distance formula. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, x1 = 2, y1 = -3, x2 = 8, and y2 = 5. Plugging these values into the formula, we get:

d = √((8 - 2)^2 + (5 - (-3))^2)

Simplifying, we get:

d = √(36 + 64)

d = √100

d = 10

Therefore, the length of the segment MN is 10 units.