Find the endpoint of the line segment with the given endpoint and midpoint.
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Answer:
Step-by-step explanation:
[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})=(6,2)\\\\(\frac{x_{1}+6}{2},\frac{y_{1}-5}{2})=(6,2)\\\\[/tex]
Compare the x and y values
[tex]\frac{x_{1}+6}{2}= 6[/tex] ; [tex]\frac{y_{1}-5}{2}=2[/tex]
x₁ + 6 = 6*2 ; y₁ - 5 = 2*2
x₁ + 6 = 12 ; y₁ - 5 = 4
x₁ = 12 - 6 ; y₁ = 4 + 5
x₁ = 6 ; y₁ = 9
Endpoint (6,9)