Unit D: Graphing

Practice


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  1. For the equation y = 8x, answer the following.
    1. State the slope.

    2. Create a table of values.














    3. Plot the points to graph the line. It is not indicated that the points are discrete, so the points should be connected.

  2. Determine the rate of change for the graph. Write an equation for this relation.


  1. For the equation y = 8x, answer the following.
    1. State the slope.

    2. Create a table of values.

       
      		 
       
      		 
       
      		 
       
      		 
       
      		 
       
      		 

    3. Plot the points to graph the line. It is not indicated that the points are discrete, so the points should be connected.

  1. When comparing the equation y = 8x to the general equation for direct variation, y = mx, m = 8. Therefore, the slope is 8.

  2. Use the x-values of 0, 1, 2, 3, 4 to obtain the y-values. Multiply each x-value by 8.

    The table of values is

    x y
    0 0
    1 8
    2 16
    3 24
    4 32




  1. Determine the rate of change for the graph. Write an equation for this relation.



Let (0, 0) = (x1, y1) and (4, 14.84) = (x2, y2).

slope   m = y 2 - y 1 x 2 - x 1 = 14 . 84 - 0 4 - 0 = 14 . 84 4 = 3 . 71

The graph represents direct variation because the points form a straight line (slope is constant) that passes through the origin, (0, 0). The general equation for direct variation is y = mx, where m is the slope; so the equation for the graph is y = 3.71x.