SOLUTION: graph: 2x + 3y=6

Algebra ->  Graphs -> SOLUTION: graph: 2x + 3y=6      Log On


   



Question 549596: graph: 2x + 3y=6
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
Whenever you have an equation where the largest exponent on the y and x is 1, it is a line .
To graph a line, it is easiest to put it in y=mx+b form (solve for y)

we have
2x%2B3y=6
2x%2B3y-2x=6-2x
3y=-2x%2B6
y=%28-2%2F3%29%2Ax%2B%286%2F3%29
y=%28-2%2F3%29%2Ax%2B2

So once we have it in this form we are automatically given a point on the line (since b is the y-intercept) which is (0,b) or in our case (0,2)
From there, we can use our m value (the slope which is rise over run) and get anotehr point. In our case, we must go down 2 (since it is negative) and over 3
We end up with a graph like this:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29%2Ax%2B2%29