SOLUTION: Find two ordered pairs that you can use to graph the line: 3x + 2y = 8 What would be your strategy here for finding ordered pairs that you can use to graph the line?

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Question 864621: Find two ordered pairs that you can use to graph the line: 3x + 2y = 8
What would be your strategy here for finding ordered pairs that you can use to graph the line?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
One way is to first isolate y




















Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is


Since 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


Also, because the slope is , this means:




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

So this is the graph of through the points and

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