In a coordinate plane, what is the midpoint of the line segment connecting the p

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Question: In a coordinate plane, what is the midpoint of the line segment connecting the points (1, 2) and (3, 4)?

Options:

Correct Answer: (2, 3)

Solution:

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2) = ((1 + 3)/2, (2 + 4)/2) = (2, 3).

In a coordinate plane, what is the midpoint of the line segment connecting the points (1, 2) and (3, 4)?

In a coordinate plane, what is the midpoint of the line segment connecting the points (1, 2) and (3, 4)?

Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (3, 4).
Step 2: Label the coordinates. For the first point (1, 2), x1 = 1 and y1 = 2. For the second point (3, 4), x2 = 3 and y2 = 4.
Step 3: Use the midpoint formula. The formula for the midpoint M is M = ((x1 + x2)/2, (y1 + y2)/2).
Step 4: Plug in the values for x1, x2, y1, and y2 into the formula. This gives us M = ((1 + 3)/2, (2 + 4)/2).
Step 5: Calculate the x-coordinate of the midpoint. (1 + 3) = 4, so (4/2) = 2.
Step 6: Calculate the y-coordinate of the midpoint. (2 + 4) = 6, so (6/2) = 3.
Step 7: Combine the x and y coordinates to find the midpoint. The midpoint M is (2, 3).

Midpoint Formula – The midpoint of a line segment in a coordinate plane is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2), which averages the x-coordinates and y-coordinates of the endpoints.