SOLUTION: Please graph this equation 2x-3y=12 by first solving y. McGraw Hill 6th edition, chapter 6, section 3, problem # 34. Thank you so very much for your time!

Algebra ->  Coordinate-system -> SOLUTION: Please graph this equation 2x-3y=12 by first solving y. McGraw Hill 6th edition, chapter 6, section 3, problem # 34. Thank you so very much for your time!      Log On


   

Question 53371: Please graph this equation 2x-3y=12 by first solving y. McGraw Hill 6th edition, chapter 6, section 3, problem # 34. Thank you so very much for your time!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=12
-2x%2B2x-3y=-2x%2B12
-3y=-2x%2B12
-3y%2F-3=-2x%2F-3%2B12%2F-3
y=%282%2F3%29x-4
This is the slope intercept form of the line.
y=mx+b where m=slope and (0,b)=y-intercept.
In our case slope(m)=2/3 and y intercept (0,b)=(0,-4)
Plot (0,-4), from that point go up (+2) and right (+3) and plot another point at (3,-2). Connect the dots and you have a line.
If your not doing that yet plot as many points as your told to.
Let x=0
y=%282%2F3%29%280%29-4
y=-4 plot (0,-4)
Let x=3 (Because of 3 in the denominator, that will make it easy to solve)
y=%282%2F3%29%283%29-4
y=6%2F3-4
y=2-4
y=-6 plot (3,-2) Connect the dots and you have the same line. It looks like this:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-4%29