the line has to have the opposite slope to be perpendicular
Since your equation is in slope intercept form (y=mx+b)
m is the slope
b is the y intercept
so you can plot the point 2,-9
and then use the slope opposite of 2/3 which would be -2/3 to plot additional points.
The equation for the second line ends up being y=-2/3x-23/3
Here is what the graph looks like
