Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

In slope-intercept form, the coefficient of x is the slope and the constant term is the y-intercept. For f(x), the slope is 1/4 and the y-intercept is −1; for g(x), they are 1/2 and −2. Since 1/2 is greater than 1/4, g is steeper, and −2 is lower than −1, so g has a lower y-intercept.

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