How does the graph of line f compare to the graph of the line ?
f(x) = 2/3x - 7
g(x) = -3/2x - 7
A. The two lines are parallel.
B. Line g is steeper than line f and is reflected over the x-axis
C. The graph of f has a different y-int than the graph of g.
D. Line f is steeper than line .
The correct answer is C. The graph of f has a different y-intercept than the graph of g.
The y-intercept is the point where the line crosses the y-axis. In the equation f(x) = (2/3)x - 7, the y-intercept is at (0, -7), while in the equation g(x) = (-3/2)x - 7, the y-intercept is also at (0, -7).
Therefore, options A, B, and D are incorrect, as they all describe characteristics of the lines that are not true.