How To Solve This

Question

Given endpoints A (1,2) and C (3,6) find the midpoint B.

Answer 1

Use the midpoint formulas. Let the midpoint be defined as the point (x_m, y_m). The midpoint formulas are x_m (the x coordinate of the midpoint) = (x₁ + x₂)/2 and y_m (the y coordinate of the midpoint) = (y₁ + y₂)/2

The points they gave (1, 2) and (3, 6) have x values of x₁ = 1 and x₂ = 3 and y values of y₁ = 2 and y₂ = 6 so the x coordinate of the midpoint x_m = (1 + 3)/2 = 4/2 = 2 and the y coordinate of the midpoint y_m = (2 + 6)/2 = 8/2 = 4. So the midpoint is (2, 4)

Answer 2

The midpoint has the x value of (1 + 3)/2 and the y value of ( 2 + 6)/2 or (2, 4).