Answer
B = (3, 2)
Step-by-step explanation
The midpoint of two given points with coordinates A (x₁, y₁) and B (x₂, y₂) is given as M (x, y)
And these coordinates are calculated as
x = (x₁ + x₂)/2
y = (y₁ + y₂)/2
So, for this question where the midpoint is (5, 5) and one of the points is (7, 8), we now need to find the second point,
(x, y) = (5, 5)
x = 5
y = 5
(x₁, y₁) = (7, 8)
x₁ = 7
y₁ = 8
(x₂, y₂) = ?
x = (x₁ + x₂)/2
5 = (7 + x₂)/2
Cross multiply
7 + x₂ = 10
x₂ = 10 - 7
x₂ = 3
y = (y₁ + y₂)/2
5 = (8 + y₂)/2
Cross multiply
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2
The coordinates of the second point is then
(x₂, y₂) = (3, 2)
Hope this Helps!!!