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March 28, 2017

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Write a slope-intercept equation of the line whose graph is described
Parallel to the graph of 3x + 2y = 5; y-intercept (0, −1)

  • math - ,

    The given line is not vertical (coefficient of y is non-zero), so we can find the slope of the given line.

    The given line can be re-written in slope intercept form (y on the left) as:

    3x+2y=5
    y=-1.5x+2.5 ...(1)

    Any line parallel to (1) would have the same coefficient of x (-1.5) and the y-intercept (2.5) could vary.

    From the y-intercept (-1), we form the required line:

    y=-1.5x-1

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