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1.1.1: Graphing a Linear Equation (Exercises)

  • Page ID
    37839
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    SECTION 1.1 PROBLEM SET: GRAPHING A LINEAR EQUATION

    Work the following problems.

    1) Is the point (2, 3) on the line 5x - 2y = 4? 2) Is the point (1, - 2) on the line 6x - y = 4?

    3) For the line 3x - y = 12, complete the following ordered pairs.

    (2, ) ( , 6)

    (0, ) ( , 0)

    4) For the line 4x + 3y = 24, complete the following ordered pairs.

    (3, ) ( , 4)

    (0, ) ( , 0)

    5) Graph y = 2x + 3 6) Graph y = - 3x + 5
    7) Graph y = 4x - 3 8) Graph x - 2y = 8
    9) Graph 2x + y = 4 10) Graph 2x - 3y = 6

    SECTION 1.1 PROBLEM SET: GRAPHING A LINEAR EQUATION

    11) Graph 2x + 4 = 0 12) Graph 2y - 6 = 0

    13) Graph the following three equations on the same set of coordinate axes.

    \[y = x +1 \quad y = 2x + 1 \quad y = -x + 1 \nonumber \]

    14) Graph the following three equations on the same set of coordinate axes.

    \[y = 2x +1 \quad y = 2x \quad y = 2x - 1 \nonumber \]

    15) Graph the line using the parametric equations

    x = 1 + 2t, y = 3 + t

    16) Graph the line using the parametric equations

    x = 2 - 3t, y = 1 + 2t


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