Visualizing Linear Functions (II)

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. 

x
y = f (x)
3
2
-1
-2

 
Sorry, this page requires a Java-compatible web browser.
  1. Based on this information, use the point (E,F) on the cartesian graph (or the related transformation figure) to
    a) estimate f (0).
    b) estimate the value of an x so that f (x) = 0.

    2. [Notice that, unlike the previous problem type, the point (E,F) is not constrained in the figure to lie on the line determined by (A,B) and (C,D).]

    Enter your answer for f (0):
    Enter your answer for the x  where f (x) = 0: 
    Click here to check: 
    The correct answer for f (0) is f (0) =
    The correct answer for the x where f (x) = 0 is x =
  2. Describe how the solutions in problem 1 are related to the positions of E and F on the transformation figure for f.