Line f passes through points (10, 7) and (1, 12). Line g is perpendicular to f. What is the slope of line g?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
First, let's find the slope of line f:
Slope of line f = (y2 - y1) / (x2 - x1)
Slope of line f = (12 - 7) / (1 - 10)
Slope of line f = (5) / (-9)
Slope of line f = -5/9
As line g is perpendicular to line f, the slope of line g will be the negative reciprocal of the slope of line f.
Therefore, the slope of line g = 9/5 = 9/5.