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March 25, 2017

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What is the x-intercept of the graph
4x-6y=12?

  • Geometry - ,

    4x-6y=12---->-6y=-4x+12--->y=(2/3)x-2

  • Geometry - ,

    Reduce the equation to the standard form:
    y=(3/2)x -2
    The constant term -2 is the y-intercept.

  • Geometry - ,

    A x-intercept is a point on the graph where y is zero.

    4 x - 6 y = 12

    for y = 0

    4 x - 0 = 12

    4 x = 12 Divide both sides with 4

    x = 3



    x-intercept = 3

  • Geometry-corr - ,

    Oops, the question requires the x-intercept, which is in fact the root of the equation, so solve the equation by putting y=0 to get
    (2/3)x=2, or x=3.
    So the x-intercept is 3.

    Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2.

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