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graph. 3x + 4y = 12
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The graph of \(3x + 4y = 12\) is a straight - line. To graph it, find the \(x\) - intercept (\(y = 0\)): \(3x=12\Rightarrow x = 4\) (point \((4,0)\)) and the \(y\) - intercept (\(x = 0\)): \(4y=12\Rightarrow y = 3\) (point \((0,3)\)). Plot \((4,0)\) and \((0,3)\) and draw a line through them. The middle graph (with a negative slope, passing through \((4,0)\) and \((0,3)\)) is the correct one.