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how do you represent the x-interept of the graph y=2/3x+6?

  • algebra -

    for the x-inercept let y = 0
    0 = (2/3)x + 6
    0 = 2x + 18
    x = -9

    if you want to re-arrange the equation so that the x-intercept can be read, like the b in y=mx + b is the y-intercept, solve the equation for x

    y = (2/3)x + 6
    3y = 2x + 18
    2x = 3y - 18
    x = (3/2)y - 9

    notice that the constant at the end is the x-intercept, just like the b in y = mx +b was the y-intercept,
    BUT, notice that the number in front of y is NOT the slope, instead it is the reciprocal of the slope.

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