I need help this this question it is on of the questions on an assesment and i cant get it wrong but i don't know the answer please help!
Find the length of the segment MN with endpoint M at 2,-3 and endpoint N at 8,5
To find the length of a line segment with the given endpoints, you can use the distance formula.
The distance formula is derived from the Pythagorean theorem and can be given as:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's use the formula to find the length of the segment MN.
Given endpoints:
M: (2, -3)
N: (8, 5)
Now, substitute the values into the formula:
d = sqrt((8 - 2)^2 + (5 - (-3))^2)
Simplify the equation:
d = sqrt(6^2 + 8^2)
d = sqrt(36 + 64)
d = sqrt(100)
Taking the square root of 100 will give us the length:
d = 10
Therefore, the length of the segment MN with endpoint M at (2, -3) and endpoint N at (8, 5) is 10 units.