SOLUTION: The standard equation of a line is represented by the equation Ax+By+C=0. What can be used to determine the slope of the line?

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Question 117168: The standard equation of a line is represented by the equation Ax+By+C=0. What can be used to determine the slope of the line?
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

Ax%2BBy%2BC=0 Start with the given equation



By%2BC=-AxSubtract ax from both sides


By=-Ax-CSubtract c from both sides


y=%28-Ax-C%29%2FB Divide both sides by B

y=%28-A%2FB%29x-C%2FB Break up the fraction

The equation is now in slope intercept form y=mx%2Bb where m=-A%2FB is the slope and b=C%2FB is the y-intercept
So the slope of Ax%2BBy%2BC=0 is m=-A%2FB