algebra

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For the equation 9x + 15y = 4(2x - 7), the y-intercept is at the coordinate (0,y). What is the value of y? Type in your answer as a decimal rounded to the nearest hundredth.

  • algebra -

    9x + 15y = 4( 2x - 7 )

    The y-intercept is value of y when x=0

    For x = 0

    9 * 0 + 15y = 4 * ( 2 * 0 - 7 )

    0 + 15y = 4 * ( 0 - 7 )

    15y = 4 * ( -7 )

    15y = -28 Divide both sides with 15

    y = -28 / 15

    y = -1.866666666666...

    y = -1.87
    rounded to the nearest hundredth

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