Find the midpoint of the line segment joining the points (2, 3) and (4, 7). (202
Practice Questions
Q1
Find the midpoint of the line segment joining the points (2, 3) and (4, 7). (2022) 2022
(3, 5)
(2, 5)
(4, 5)
(3, 4)
Questions & Step-by-Step Solutions
Find the midpoint of the line segment joining the points (2, 3) and (4, 7). (2022) 2022
Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (4, 7).
Step 2: Write down the formula for finding the midpoint. The formula is Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2).
Step 3: Substitute the x-coordinates into the formula. Here, x1 = 2 and x2 = 4. So, (2 + 4) / 2.
Step 4: Calculate the x-coordinate of the midpoint. (2 + 4) / 2 = 6 / 2 = 3.
Step 5: Substitute the y-coordinates into the formula. Here, y1 = 3 and y2 = 7. So, (3 + 7) / 2.
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. The midpoint is (3, 5).
Midpoint Formula – The midpoint of a line segment is calculated using the formula ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
