Question

K(4,6) and L(10,10) are the endpoints of a line segment. What is the midpoint M of that line segment?

Answer 1

The midpoint of the line segment KL with endpoints K(4,6) and L(10,10) is M(7,8).

Step-by-step explanation:

To find the midpoint of a line segment with given endpoints, we can use the midpoint formula. The midpoint formula is (x,y) = ((x₁ + x₂)/2, (y₁ + y₂)/2), where (x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints. In this case, the coordinates of K and L are (4,6) and (10,10) respectively. Plugging these values into the midpoint formula, we get ((4+10)/2, (6+10)/2), which simplifies to (7,8). So, the midpoint of the line segment KL is M(7,8).