SOLUTION: WHAT IS THE SLOPE OF 2X+3Y=12?

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Question 595225: WHAT IS THE SLOPE OF 2X+3Y=12?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the slope, solve for y and get the equation into slope intercept form.


2x%2B3y=12 Start with the given equation.


3y=12-2x Subtract 2x from both sides.


3y=-2x%2B12 Rearrange the terms.


y=%28-2x%2B12%29%2F%283%29 Divide both sides by 3 to isolate y.


y=%28%28-2%29%2F%283%29%29x%2B%2812%29%2F%283%29 Break up the fraction.


y=-%282%2F3%29x%2B4 Reduce.


So the equation y=-%282%2F3%29x%2B4 is now in slope intercept form y=mx%2Bb where the slope is m=-2%2F3