Question

Find the midpoint Of OP if O(-1,0) and P(6, 1).

a) (2.5, 0.5)
b) (3.5, 0.5)
c) (2.5, 1)
d) (3.5, 1)

Answer 1

The midpoint of the line segment OP with endpoints O(-1,0) and P(6,1) is calculated using the midpoint formula and results in the point (2.5, 0.5), which is option a.

Step-by-step explanation:

To find the midpoint of the line segment OP with the endpoints O(-1,0) and P(6,1), we use the midpoint formula which is given by:

1. Identify the coordinates of the two points. Point O has coordinates (-1,0) and point P has coordinates (6,1).
2. Apply the midpoint formula: M = ((x1 + x2) / 2, (y1 + y2) / 2), where M is the midpoint, (x1, y1) are the coordinates of point O, and (x2, y2) are the coordinates of point P.
3. Calculate the midpoint: M = ((-1 + 6) / 2, (0 + 1) / 2) = (5 / 2, 1 / 2).

Thus, the midpoint M is (2.5, 0.5), which corresponds to option a.