SOLUTION: Hello, how do i graph the equation 2x+3y=6.

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Question 1820: Hello, how do i graph the equation 2x+3y=6.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
any straight line can be sketched if you know it in the form y = mx + c where m is the gradient and c in the y-intercept...so we need to re-arrange your equation slightly
2x%2B3y=6 becomes 3y+=+-2x+%2B+6 then becomes y+=+%28-2x+%2B+6%29%2F3 which is y+=+%28-2%2F3%29x+%2B+2.
so, the gradient is -2/3 and the y-intercept is at y=2
We can also find where the line crosses the x-axis, as this is where y=0, so putting y=0 into the equation (any version) gives x=3.
You need to know what a +ve and -ve gradient looks like:
+ve is /
-ve is \
cheers
Jon