If point A(2, 3) and point B(8, 7) are the endpoints of a line segment, what is
Practice Questions
Q1
If point A(2, 3) and point B(8, 7) are the endpoints of a line segment, what is the midpoint M of AB?
(5, 5)
(4, 5)
(6, 5)
(5, 4)
Questions & Step-by-Step Solutions
If point A(2, 3) and point B(8, 7) are the endpoints of a line segment, what is the midpoint M of AB?
Step 1: Identify the coordinates of point A and point B. Point A is (2, 3) and point B is (8, 7).
Step 2: Write down the formula for finding the midpoint M of a line segment. The formula is M = ((x1 + x2)/2, (y1 + y2)/2).
Step 3: Substitute the x-coordinates of points A and B into the formula. Here, x1 = 2 and x2 = 8.
Step 4: Calculate the x-coordinate of the midpoint: (2 + 8)/2 = 10/2 = 5.
Step 5: Substitute the y-coordinates of points A and B into the formula. Here, y1 = 3 and y2 = 7.
Step 6: Calculate the y-coordinate of the midpoint: (3 + 7)/2 = 10/2 = 5.
Step 7: Combine the x and y coordinates to find the midpoint M. So, M = (5, 5).
Midpoint Formula – The midpoint of a line segment is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
