Visualizing Linear Functions (I)

Problem: Suppose that the variable y is a linear function of x with y = f (x) = mx + b. Given the following table for the function, move the points (A, B) and (C,D) on the cartesian graph to match the ordered pairs of data in the table.

y = f (x)

  1. Based on this information, use the point (E,F) on the cartesian graph (or the related transformation figure) to

  2. a) estimate f (0).
    b) estimate the value of an x so that f (x) = 0.
  3. Describe how the solutions in the previous problem are related to the positions of E and Fon the transformation figure for f.

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Here are two other tables of data. Assume that each is data from a linear function.