math

what is an equation for the line that passes through the coordinates (2,0) and (0,3)?
(1) y=-3/2x+3
(2) y=-3/2x-3
(3) y=-2/3x+2
(4) y=-2/3x-2

explain the steps too please. :)

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asked by lil
  1. In-order to get the equation of a line you need 2 points. This fact will remain true for the rest of your life (when you get to higher levels of math) all you need is 2 points.

    A point is usually referred to as X1, Y1.

    The slope of a line is (Y2-Y1)/(X2-X1)

    STEP #1: Insert points into slope equation.

    Point 1: X1,Y1 = (2,0)
    Point 2: X2,Y2 = (0,3)
    Slope = 3-0 / 0-2 = 3/2

    STEP #2: Once you have the slope, solve for B in the equation of a line [y=ax + b where a = the slope and b = y-intercept]

    ..
    Y = ax + b
    we know the slope is 3/2
    so
    Y = 3/2x + b
    we know 2 points, so you can plug any of them in to solve for b
    Let's use 2,0

    0 = 3/2 (2) + b
    0 = 3 + b
    b= -3

    Solution: Y= AX + B ..
    Y = 3/2X -3
    (2)

    good luck..

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  2. thanks. :)

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    posted by lil

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