Understanding
This lesson challenges students to explain the meaning of a solution for a linear combination of two variables with a given constraint and to recognize the solution graphs as a line.
What to look for
Students may note that for equations of the form ax+by = c where a and b are positive, the slope of the "solution line" is always negative.
Sample Assessment
Which of the following ordered pairs (x,y) is a solution to the equation 2x+3y=6?a. (6, 3)
b. (3, 0)
c. (3, 2)
d. (2, 3)
e. (0, 3)
Answer: b
