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

Practice Questions

Q1
In a coordinate plane, what is the midpoint of the line segment connecting the points (1, 2) and (3, 4)?
  1. (2, 3)
  2. (1, 2)
  3. (3, 4)
  4. (4, 6)

Questions & Step-by-Step Solutions

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).
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