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Part C: How can you solve the equation 8x = 2x + 2 graphically?

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Kayla

  1. after you simplify , you get:
    6x = 2
    x = 2/6 = 1/3

    In general, the equation of a line describes the relationship that the x and the y have for each ordered pair on the line.
    e.g. if we had y = 2x + 1, that would mean that for every x value that you choose, the y will be one more than twice your x --> (3,7) or (-5, -9)

    in your case we ended up saying that x = 1/3, and no mention was made of y.
    so any ordered pair will do as long as your x value is 1/3.
    e.g. (1/3 , 2) , (1/3, 5) , (1/3 , -4)
    if you plot these points you will get a vertical line so that for every point on it, the x is 1/3

    similarly if you ended up with something like y = 2, (where there is no x in your equation), you would have a horizontal line , and every point on that horizontal line has a y value of 2

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    Reiny

  2. Thank you

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    Kayla

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