Solve the following problem graphically

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I have a small question here ... If the problem has constrain (=) like this $...4x+3y=1$. how to do it in the graph to get the region ... Overlooking the original point or not?

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If 4X + 3Y = 1 is one of your constraints, and you are solving the problem graphically, it will mean that your solution region/Bounded region will be narrowed down to just points on the line (and not above/below it, like you would see with an inequality).