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-8x-7y = 21
First let's separate the y and x and try to get the equation in the form of Y=mX+B (m is the slope and B is the y-intercept)
-8x-21=7y (we simply added 7y to both sides and subtracted 21 to both sides of the equation)
Now let's divide by 7 to both sides
-(8/7)X-(21/7)=(7/7)Y
to yield....
-(8/7)-3=Y, so our slope is -(8/7) and our slope is -3
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