m=-2/3 (slope)
b=3 (y-intercept)
Step-by-step explanation:
Slope-intercept form is y=mx+b where the slope is m and the y-intercept is b.
You have 3y+2x=9.
We need to solve this for y to get it into y=mx+b form.
3y+2x=9
Subtract 2x on both sides:
3y =-2x+9
Divide both sides by 3:
![y=\frac{-2}{3}x+\frac{9}{3}](/tpl/images/0083/1313/eb3e5.png)
![y=\frac{-2}{3}x+3](/tpl/images/0083/1313/baaf7.png)
Now compare this to:
y=mx+b
m=-2/3
b=3