what is the length of the line segment whose endpoints are (1,-4) and (9,2)
Using the distance formula, the length of the line segment is:
sqrt((9-1)^2 + (2-(-4))^2)
= sqrt(8^2 + 6^2)
= sqrt(64 + 36)
= sqrt(100)
= 10
Therefore, the length of the line segment is 10 units.
To find the length of a line segment, we can use the distance formula:
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the values of the endpoints into the formula:
x1 = 1
y1 = -4
x2 = 9
y2 = 2
d = sqrt((9 - 1)^2 + (2 - (-4))^2)
Simplifying further:
d = sqrt((8)^2 + (6)^2)
d = sqrt(64 + 36)
d = sqrt(100)
d = 10
Therefore, the length of the line segment is 10 units.