SOLUTION: Graph and label the given equation on a coordinate axes (you don't need to graph it, I just need to figure out the equation!) 2x+3y=6 thank you so much!!

Algebra ->  Graphs -> SOLUTION: Graph and label the given equation on a coordinate axes (you don't need to graph it, I just need to figure out the equation!) 2x+3y=6 thank you so much!!      Log On


   

Question 414074: Graph and label the given equation on a coordinate axes
(you don't need to graph it, I just need to figure out the equation!)
2x+3y=6
thank you so much!!
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Graph and label the given equation on a coordinate axes

2x+3y=6    |if x = 0  then y = 2   Pt(0,2) on y-axis

                   |if y = 0  then x = 3   Pt(3,0) on x-axis

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2x+%2B+3y+=+6+
Subtract 2x from both sides
3y+=+-2x+%2B+6
Divide both sides by 3
y+=+-%282%2F3%29%2Ax+%2B+2
This is in slope-intercept form y+=+mx+%2B+b
m+=+-2%2F3 (slope)
b+=+2 y-intercept
-----------------
When y+=+0,
0+=+-%282%2F3%29%2Ax+%2B+2
%282%2F3%29%2Ax+=+2
x+=+%283%2F2%29%2A2
x+=+3
So, (3,0) is on the line, and
(0,2) is on the line