SOLUTION: graph the line 3x+2y=2

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Question 336646: graph the line 3x+2y=2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B2y=2 Start with the given equation.


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


2y=-3x%2B2 Rearrange the terms.


y=%28-3x%2B2%29%2F%282%29 Divide both sides by 2 to isolate y.


y=%28%28-3%29%2F%282%29%29x%2B%282%29%2F%282%29 Break up the fraction.


y=-%283%2F2%29x%2B1 Reduce.


Looking at y=-%283%2F2%29x%2B1 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F2 and the y-intercept is b=1


Since b=1 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is -3%2F2, this means:

rise%2Frun=-3%2F2


which shows us that the rise is -3 and the run is 2. This means that to go from point to point, we can go down 3 and over 2



So starting at , go down 3 units


and to the right 2 units to get to the next point



Now draw a line through these points to graph y=-%283%2F2%29x%2B1

So this is the graph of y=-%283%2F2%29x%2B1 through the points and


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim