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 .

1 answer

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.
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