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    the type of quadrilateral

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    I am being asked to determine the type of quadrilateral defined by the point of intersection (using geometry & algebra) of the lines:

    x - 4y + 3 = 0
    5x - y - 8 = 0
    x - 4y -16 = 0
    6x - 5y - 1 = 0

    © BrainMass Inc. brainmass.com October 4, 2022, 1:09 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/type-quadrilateral-286683

    SOLUTION This solution is FREE courtesy of BrainMass!

    x - 4y + 3 = 0 --equation 1
    5x - y - 8 = 0 --equation 2
    x - 4y -16 = 0 --equation 3
    6x - 5y - 1 = 0 --equation 4
    Express all equation in terms of y. That would mean only y is found in the left side of the equation.

    ---------------------equation 1
    x - 4y + 3 = 0
    - 4y = -x -3
    y = (x+3)/4

    Assign values for x then solve for y as shown in the table
    x -3 1 5
    y 0 1 2
    Graph these points and connect with a straight line.

    ---------------------equation 2
    5x - y - 8 = 0
    - y = -5x + 8
    y = 5x - 8
    Assign values for x then solve for y as shown in the table
    x 0 1 2 3
    y -8 -3 2 7
    Graph these points and connect with a straight line.

    ---------------------equation 3
    x - 4y -16 = 0
    -4y = -x +16
    y = (x - 16)/4
    Assign values for x then solve for y as shown in the table
    x -4 0 4
    y -5 4 3
    Graph these points and connect with a straight line.

    ---------------------equation 4
    6x - 5y - 1 = 0
    - 5y = -6x + 1
    y = (6x-1)/5
    Assign values for x then solve for y as shown in the table
    x -4 -2 1 3
    y -5 -2.6 1 3.4
    Graph these points and connect with a straight line.

    The graph of the four lines is shown below. The bounded area formed by the intersection of the lines is a TRAPEZOID !
    Take note that the two sides are parallel.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 4, 2022, 1:09 pm ad1c9bdddf>
    https://brainmass.com/math/basic-algebra/type-quadrilateral-286683

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