Question 43453
This is best done by rewriting the equation in the "slope-intercept" form{{{y = mx + b}}} where m is the slope and b is the y-intercept.

{{{6x-9y = -18}}} Subtract 6x from both sides.
{{{-9y = -6x-18}}} Divide both sides by -9
{{{y = (2/3)x + 2}}} Now compare this with:
{{{y = mx + b}}} and you can see that:

{{{m = 2/3}}} and
{{{b = 2}}}