O A. (2,4) O B. (1,2) O D. (2,2) What is the midpoint of the line segment with endpoints (-1, 7) and (3, -3)?
The midpoint of the line segment is (1, 2). Then the correct option is B.
What is the mid-point of the line segment?
Let AB be the line segment and C be the mid–point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid–point (x, y).
Then the coordinate of the mid–point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints of the line segment are (-1, 7) and (3, -3). Then the mid-point of the line segment will be given as,
(x, y) = [(-1 + 3) / 2, (7 – 3) / 2]
(x, y) = (2/2, 4/2)
(x, y) = (1, 2)
The midpoint of the line portion is (1, 2). Then the right choice is B.
More about the mid-point of the line segment link is given below.
What is the mid-point of the line segment?