#### 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