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Line $l_1$ represents the graph of $3x + 4y = -14$. Line $l_2$ passes through the point $(-5,7)$, and is perpendicular to line $l_1$. If line $l_2$ represents the graph of $y=mx +b$, then find $m+b$.

 May 25, 2021
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Slope of l_1 is -3/4 so slope of l_2 is 4/3 which means l_2 is y=4/3x+b and we get 7 = -20/3+b so b = 41/3 which menans m+b=4/3+41/3 = 15.

 May 25, 2021

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