what is the length of the line segment whose endpoints are (2,3) and (6, -7)
Memorize the distance between two points formula
d(p1,p2)=sqrt((x1-x2)^2 + (y1-y2)^2)
To find the length of a line segment with given endpoints, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the endpoints of the line segment are (2, 3) and (6, -7).
Using the distance formula, we can calculate the length of the line segment:
Distance = √((6 - 2)^2 + (-7 - 3)^2)
= √(4^2 + (-10)^2)
= √(16 + 100)
= √116
≈ 10.77
Therefore, the length of the line segment with endpoints (2, 3) and (6, -7) is approximately 10.77 units.