This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
a) Step 1: Recall the midpoint formula for two points (x_1, y_1) and (x_2, y_2): M = ((x_1+x_2)/(2), (y_1+y_2)/(2)) Step 2: Identify the coordinates of points A and B. A = (-4, 6) so x_1 = -4, y_1 = 6. B = (8, -2) so x_2 = 8, y_2 = -2. Step 3: Substitute the coordinates into the midpoint formula and calculate. M = ((-4+8)/(2), (6+(-2))/(2)) M = ((4)/(2), (4)/(2)) M = (2, 2) The coordinates of the midpoint of line AB are (2, 2). What's next?