1. The problem statement, all variables and given/known data A line passes through (3,4). What is the maximum value of x+y? 2. Relevant equations y = mx + b 3. The attempt at a solution So I set up a system of equations, m3+b =4; b = Y; mX + b = 0. Then I plugged my values for X and Y into m3+b = 4.. The weird thing is though... there is no maximum value of x+y?? It's just a line, x or y could go out further and further to infinity How should I solve this? Thanks
As you say, the only solution that makes sense here is "infinity". Are you sure you have the question right?