Question

M is the midpoint of AB has coordinates(5, −4), if A has coordinates(6,1). What are thecoordinates of B. (1.5pts)?

Answer 1

coordinates of A are (11/2, -3/2)

Explanation:

midpoint = M(5, −4)

start point = A(6, 1)

endpoint = B(x, y)

equation :

x = m1 × x2 + m2 × x1 y = m1 × y2 + m2 × y1

_____________ _____________

m1 + m2 m1 + m2

x = (1 × 6) + (1 × 5) y= (1 × 1) + (1 × -4)

_____________ ____________

1 + 1 1 + 1

x = (6+5 )/ 2 = 11 / 2 y = (1+(-4))/2+(1-4)/2 = -3/2

∴coordinates of A are (11/2, -3/2)

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