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The easiest way to do this would be to put the equation for y in terms of x.

We have x+y = 6

subtracting x from both sides gives y = 6 - x

This is of the form y = ax + b where b is 6 and a is minus 1.

So the graph will be a line, with gradient minus 1, that crosses the y axis at y=6

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Q: Graph x plus y equals 6?
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