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12 February, 02:50

What is the general form of the equation of the line shown? x - 2y - 3 = 0 2x - y + 3 = 0 2x - y - 3 = 0

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  1. 12 February, 05:05
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    The general form of the equation for a straight line is

    y = mx + b

    where

    m = slope

    b = y-intercept.

    Consider the equation x - 2y - 3 = 0.

    Add 2y to each side.

    x - 3 = 2y, or

    2y = x - 3

    Divide through by 2.

    y = (1/2) x - 3/2

    This is in general form.

    Consider the equation 2x - y + 3 = 0.

    Add y to each side.

    2x + 3 = y, or

    y = 2x + 3

    This is in general form.

    Consider the equation 2x - y - 3 = 0.

    Add y to each side.

    2x - 3 = y, or

    y = 2x - 3

    This is in general form.
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