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Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
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Practice Questions
1 question
Q1
Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
(3, 5)
(2, 5)
(4, 3)
(5, 6)
Show Solution
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Midpoint M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 4)/2, (3 + 7)/2) = (3, 5).
Questions & Step-by-step Solutions
1 item
Q
Q: Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
Solution:
Midpoint M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 4)/2, (3 + 7)/2) = (3, 5).
Steps: 7
Show Steps
Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (4, 7).
Step 2: Label the coordinates. For the first point (2, 3), x1 = 2 and y1 = 3. For the second point (4, 7), x2 = 4 and y2 = 7.
Step 3: Use the midpoint formula: Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).
Step 4: Substitute the values into the formula. M = ((2 + 4)/2, (3 + 7)/2).
Step 5: Calculate the x-coordinate of the midpoint: (2 + 4)/2 = 6/2 = 3.
Step 6: Calculate the y-coordinate of the midpoint: (3 + 7)/2 = 10/2 = 5.
Step 7: Combine the x and y coordinates to get the midpoint: M = (3, 5).
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