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Utility curves with Perfect Substitutes, help!

I am unsure what I would the optimum consumption bundle would be in this case.

U(x,y)= x + y
P(x)=6
P(y)=6
6x+6y=300

Would there be 2 optimum consumption bundles of (50,0) and (0,50) or would every point on the line be optimum as the budget line is equal to the indifference curve?
Reply 1
If I’m not mistaken all points on a budget constraint are optimum as it is identical to utility curve so the combination can be (50,0) (0,50) (25,25) (30,20) (20,30) (10,40) (40,10) as all combinations don’t exceed the budget constraint and provide total utility of 50.

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