SOLUTION: State the coordinate of the given point. Let L represent 0 on the number line, and F represent 6 on the number line. The point between L and F that is twice as far from L as it is

Algebra ->  Number-Line -> SOLUTION: State the coordinate of the given point. Let L represent 0 on the number line, and F represent 6 on the number line. The point between L and F that is twice as far from L as it is      Log On


   

Question 333664: State the coordinate of the given point. Let L represent 0 on the number line, and F represent 6 on the number line. The point between L and F that is twice as far from L as it is from F
Answer by stanbon(75887) About Me  (Show Source):
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State the coordinate of the given point. Let L represent 0 on the number line, and F represent 6 on the number line. The point between L and F that is twice as far from L as it is from F
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Draw a number line.
Plot the points L=0 and F=6
Let x be the point beween L and F the as twice as far from L
as it is from F.
Then Lx+xF = 6
and Lx = 2*xF
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Substitute for Lx and solve for xF
2xF+xF = 6
3xF = 6
xF = 2
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Since Lx+xF=6, Lx = 4
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Therefore x is 4 to the right of L.
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Cheers,
Stan H.
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