In the graphing problem 3y=2x-9 m=? b=? What do m and b stand for? How do I solve?

The slope-intercept form of an equation is,

y = mx + b
m = the slope
b = the y-intercept

You need to solve your equation for y, for the equation to be in the slope-intercept form.

3y = 2x - 9
Divide both sides by 3,
y = 2/3 x - 9/3
y = 2/3 x - 3

Now, the equation is in the slope-intercept form and you can easily find m and b.

y = mx + b
Your equation,
y = 2/3 x - 3
y = 2/3 x + (-3)
m = ?
b = ?