Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
Practice Questions
Q1
Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
(3, 5)
(2, 5)
(4, 3)
(5, 6)
Questions & Step-by-Step Solutions
Find the midpoint of the line segment joining the points (2, 3) and (4, 7).
Correct Answer: (3, 5)
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).
Midpoint Formula – The midpoint of a line segment is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2), which finds the average of the x-coordinates and the y-coordinates of the endpoints.
