Help on this graph I need the slope and equation

the slope is 3x by doing rise/run

the equation would be y=3x+5

5 is the y intercept

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

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note: the best i know.