Find the other endpoint of a line segment which one endpoint at (-3, 5) and whose midpoint is (5, 2)
2 answers:
So to find the other endpoint you need to see how far the first endpoint is to the midpoint. In X's place we have a total distance of 5- (-3)= 8 place away from one another so 5+8= 13 while in the y's case 5-2=3 place away from one another so 2-3= -1 so your order pair is (13,-1)
Let the unknown endpoint be (x₂ , y₂) and the known (x₁ , y₁)
mid-point =
= (A , B)
plug in the known values
=>
separate the two parts of the equation for the formula and solve
for the value of the unknown y and x
=> A :
-3 + x₂ = (5)(2)
x₂ = 10 + 3
= 13
B:
5 + y₂ = (2)(2)
5 + y₂ = 4
y₂ = 4 - 5
= - 1
∴ if midpoint is (A,B) then midpoint is (13 , -1)
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