What is the length of the line segment shown on this coordinate grid?First quadrant coordinate grid with a line segment connecting points (2, 6) and (8, 6).


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Answers

Answer 1
Answer: use the x values of the 2 points and subtract the biggest number(8)and the smallest (2) and you get 6 that is how long it is 6 units long 
Answer 2
Answer: if you have graph paper and you graph the line you can draw a triangle then use the hypotenuse AKA the line and use Pythagorean theorm

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\bf \begin{cases}f(x)=-4x+7\ng(x)=10x-6\end{cases}\qquad \qquad f(~~g(x)~~)=-4[g(x)]+7\n\n\nf(~~g(x)~~)=-4[10x-6]+7\implies f(~~g(x)~~)=-40x+24+7\n\n\nf(~~g(x)~~)=-40x+31

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