The midpoint of GI is (2,-1). Endpoint G is located at (-1,-3). Find the other endpoint I

Question

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Answer 1

To get from (-1, -3) to (2, -1) we go

right 3 in x value and up 2 in y value.

 

From (2, -1) right 3 and up 2 is (2+3, -1+2) = (5, 1)

 

Or, using midpoint formula

mp = ((x₁+x₂)/2, (y₁+y₂)/2) = (2, -1)

 

(-1+x₂)/2 = 2

-1 + x₂ = 4

x₂ = 5

 

(-3 + y₂)/2 = -1

-3 + y₂ = -2

y₂ = 1

 

(x₂, y₂) = (5, 1)