Max value of x+y (solving a linear system)?

[holezch]

Homework Statement

A line passes through (3,4). What is the maximum value of x+y?

Homework Equations

y = mx + b

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

 

[mrbohn1]

As you say, the only solution that makes sense here is "infinity". Are you sure you have the question right?