Originally Posted by
kdogg121 I am having trouble with this problem, directions indicate to sketch the indicated level curve f(x,y) = C for each choice of constant C.
f(x,y)= x+2y ; C=1, C=2, C=-3
I am not too concerned with the actual sketching, but I am having trouble finding the points to graph. The answer in the book shows 3 separate lines with line C=1 having points of (0,1/2), (1,0) line C=2 having points of (0,1), (2,0) and line C=-3 having points of (-3,0), (0,-3/2). My professor showed us an example where we set the C number equal to the function. So I did for C=1 1=x+2y. I then isolated Y by itself as he did in the example and divided by 2, and got Y= -x+1 Is this right? How do I find the other coordinates? Thanks...