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Can you help me with this assignment

User Wildhammer
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1 Answer

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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!!!

User Claasz
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