SOLUTION: 2x-3y=-6

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Question 131010: 2x-3y=-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to solve for y and graph?



2x-3y=-6 Start with the given equation


-3y=-6-2x Subtract 2+x from both sides


-3y=-2x-6 Rearrange the equation


y=%28-2x-6%29%2F%28-3%29 Divide both sides by -3


y=%28-2%2F-3%29x%2B%28-6%29%2F%28-3%29 Break up the fraction


y=%282%2F3%29x%2B2 Reduce




Looking at y=%282%2F3%29x%2B2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=2%2F3 and the y-intercept is b=2


Since b=2 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 2%2F3, this means:

rise%2Frun=2%2F3


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



So starting at , go up 2 units


and to the right 3 units to get to the next point



Now draw a line through these points to graph y=%282%2F3%29x%2B2

So this is the graph of y=%282%2F3%29x%2B2 through the points and