COLLEGE ALGEBRA: AN INVESTIGATIVE APPROACH

by

S. Kastberg & T. Barron

ALGEBRAIC FORMS OF LINEAR FUNCTIONS

INVESTIGATION 2: X and Y Intercepts of linear functions with Coefficients in Z

Question 1

Consider the lines graphed above. These two lines have coeficients in the integers. If S is the set of all lines whose x and y intercepts are also integers, which line(s) shown would be in set S?

 

Question 2

Suppose set T is the set of all lines whose coefficients are the integers [-10, 10]. How many elements would the set T have?

 

Question 3

Suppose set R is the set of all linear functions whose coefficients are the integers [-10, 10] and whose x and y intercepts are also integers. How many elements would set R have. List all the elements of set R.

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