Answer:
coordinates of A are (11/2, -3/2)
Step-by-step 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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