Visualizing Linear Functions (I)

Problem: Suppose that the variable y is a linear function of x with y = f (x) = mx + b and the following table of values.
x
y = f (x)

Move the points (A, B) and (C,D) on the cartesian graph below to match the ordered pairs of data in the table.

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  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.
    Enter your answer for f (0):
    Enter your answer for the where f (x) = 0
    Click here to check: 
    The correct answer for f (0):
    The correct answer for the x where f (x) = 0
  3. Describe how the solutions to this problem are related to the positions of E and F on the transformation figure for and the point (E,F) on the cartesian graph.