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?

Algebra ->  Graphs -> 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?      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
One way is to first isolate y


3x+%2B+2y+=+8+


2y+=+8-3x+


2y+=+-3x%2B8+


y+=+%28-3x%2B8%29%2F2+


y+=+%28-3x%29%2F2%2B8%2F2+


y+=+%28-3%2F2%29x%2B4+


Looking at y=-%283%2F2%29x%2B4 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=4


Since b=4 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%2B4

So this is the graph of y=-%283%2F2%29x%2B4 through the points and