SOLUTION: How do you graph 6y+3=2x looking for the slope and y-intercept?

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Question 958817: How do you graph 6y+3=2x looking for the slope and y-intercept?
Found 2 solutions by Fombitz, macston:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graphing, find the x and y intercepts, plot them and the line through them.
Y-intercept : Set x=0, solve for y.
6y%2B3=0
6y=-3
y=-1%2F2
(0,-1/2)
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X-intercept : Set y=0, solve for x.
0%2B3=2x
2x=3
x=3%2F2
(3/2,0)
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Convert the equation to slope-intercept form y=mx%2Bb.
6y=2x-3
y=x%2F3-1%2F2
So then,
m=1%2F3
b=-1%2F2
But you already solved for the y-intercept.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Put in slope intercept form:y=mx+b
6y+3=2x subtract 3 from each side.
6y=2x+(-3) Divide each side by 6
y=%281%2F3%29x%2B%28-1%2F2%29
m=slope=1/3 b=y-intercept=-1/2
x-intercept:
0=1/3x-1/2
1/2=1/3x
3/2=x
Draw the intercepts at (0,-1/2) and (3/2,0) and connect the dots.
+graph%28+500%2C+590%2C+-6%2C+5%2C+-6%2C+5%2C+%281%2F3%29x-%281%2F2%29%29+