Just first plot the line where 3x+4y = 12
This is the line y = -(3/4)x + 3
Since you are dealing with the graph of an inequality, you will have to indicate an area where the inequality holds. since 3x+4y has to be less than or equal to -12, that area equals the area under the line you just drew.
3x + 4y less than or equal to -12
Graph linear inequality
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