What is the midpoint of the line segment joining points (4, 2) and (10, 6)?
Practice Questions
Q1
What is the midpoint of the line segment joining points (4, 2) and (10, 6)?
(7, 4)
(6, 4)
(5, 4)
(8, 3)
Questions & Step-by-Step Solutions
What is the midpoint of the line segment joining points (4, 2) and (10, 6)?
Step 1: Identify the coordinates of the two points. The first point is (4, 2) and the second point is (10, 6).
Step 2: Write down the formula for the midpoint. The formula is M = ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Step 3: Substitute the coordinates into the formula. Here, x1 = 4, y1 = 2, x2 = 10, and y2 = 6.
Step 4: Calculate the x-coordinate of the midpoint. This is (4 + 10)/2 = 14/2 = 7.
Step 5: Calculate the y-coordinate of the midpoint. This is (2 + 6)/2 = 8/2 = 4.
Step 6: Combine the x and y coordinates to get the midpoint. The midpoint M is (7, 4).
