SOLUTION: Find the slope if it exists 3x-2y=4

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Question 185657: Find the slope if it exists
3x-2y=4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x-2y=4 Start with the given equation.


-2y=4-3x Subtract 3x from both sides.


-2y=-3x%2B4 Rearrange the terms.


y=%28-3x%2B4%29%2F%28-2%29 Divide both sides by -2 to isolate y.


y=%28%28-3%29%2F%28-2%29%29x%2B%284%29%2F%28-2%29 Break up the fraction.


y=%283%2F2%29x-2 Reduce.


So the equation y=%283%2F2%29x-2 is now in slope intercept form y=mx%2Bb where the slope is m=3%2F2 and the y-intercept is b=-2

note: the y-intercept is the point