June 15th, 2010, 09:44 AM  #1 
Newbie Joined: Jun 2010 Posts: 24 Thanks: 0  quick q
given 2x+3y=12, what is the slope, y intercept, and what would the graph look like is the slope??? m= 3 y int: b= 6 any help? thanks 
June 15th, 2010, 10:15 AM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: quick q
The slope and y intercept are most easily identified when the equation is in "slope intercept form" y=mx + b 
June 15th, 2010, 10:25 AM  #3  
Member Joined: Feb 2010 Posts: 53 Thanks: 0  Re: quick q Quote:
Then you know the yintercept and the slope. So, we have the equation: Subtracting 2x from both sides gives: Then dividing both sides (meaning the whole of both sides) by 3 gives: this becomes, by basic rules of fractions, the following: This is in the form: So, and This graph would look like a line, slanted from top left to bottom right, intersecting the yaxis at four. Basically draw a point at (0, 4) and move down two [2 in the slope, m] and to the right 3 [+3 in the slope, m] to find your next point. Continue this to get a picture of the graph, in both directions. Hope this helps, anymore questions post them here and I'll try to clarify.  
June 15th, 2010, 10:41 AM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: quick q Hello, bignick79! Quote:
Get the equation into the form:[color=beige] .[/color] [color=beige]. . [/color]That is, solve for [color=beige]. . . [/color] [color=beige]. .[/color] [color=beige]. . . . . . . . . . . . . . . . . . [/color][color=beige]   [/color] [color=beige]. . . . . . . . . . . . . . . . [/color]slope[color=beige] . [/color]yintercept ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ This line has a yintercept at [color=beige]. . [/color] Code:  *  * 4 +3 o          +  * :  * : 2  * :  * :  o    +            *     *   

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