Answer :
[tex]2x-9y=-36\\
-9y=-2x-36\\
y=\dfrac{2}{9}x+4\\\\
\boxed{m=\dfrac{2}{9}}
[/tex]
what I do first (easier for me) is to change it into slope-intercept form
2x-9y=-36
-9y=-2x-36 2x
--------------- = y= ---- +4
-9 9
the slope is whatever is in front of x, in this case 2/9
2x-9y=-36
-9y=-2x-36 2x
--------------- = y= ---- +4
-9 9
the slope is whatever is in front of x, in this case 2/9