Final answer:
The slope of line g, perpendicular to line f, is 9/2.
Step-by-step explanation:
Line f has a slope of -2/9, which means for every 9 units of horizontal change (run), there is a decrease of 2 units in the vertical change (rise).
To find the slope of a line perpendicular to f, we need to find the negative reciprocal of the slope of f.
The negative reciprocal of -2/9 is 9/2.
Therefore, the slope of line g is 9/2.