Question

The endpoints of segment AB are A(-1, 9) and B(3, 5). Find the coordinates of the midpoint C

Answer 1

The coordinates of the midpoint C of segment AB with endpoints A(-1, 9) and B(3, 5) are calculated using the midpoint formula, resulting in C being at the coordinates (1, 7).

Step-by-step explanation:

The question asks to find the coordinates of the midpoint C of segment AB with endpoints A(-1, 9) and B(3, 5). To find the coordinates of the midpoint, we use the midpoint formula which is C((Mx, My)), where Mx = (Ax + Bx)/2 and My = (Ay + By)/2. Using the coordinates of A and B, we substitute into the formula to get:

Mx = (-1 + 3)/2 = 1

My = (9 + 5)/2 = 7

Hence, the coordinates of the midpoint C are (1, 7).