SOLUTION: find the slope of the line determined by each equation. 3x=4y-2

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Question 132979This question is from textbook Intermediate Algebra
: find the slope of the line determined by each equation.
3x=4y-2
This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x=4y-2 Start with the given equation


3x%2B2=4y Add 2 to both sides


%283x%2B2%29%2F4=cross%284%2F4%29y Divide both sides by 4


%283%2F4%29x%2B2%2F4=y Break up the fraction


%283%2F4%29x%2B1%2F2=y Reduce


y=%283%2F4%29x%2B1%2F2 Rearrange the equation

So the equation is in slope intercept form y=mx%2Bb where the slope is m=3%2F4