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Suppose That F Is A Linear Function With Slope -4 And That F(1)=7. Find The Equation For F. (Use X As The Variable.)

F(X)=__________

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Final answer:

The equation for the linear function is F(x) = -4x + 11.

Step-by-step explanation:

To find the equation for the linear function, we need the slope and one point on the line. The slope is given as -4. Since the function passes through the point (1,7), we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Plugging in the values, we get:

F(x) - 7 = -4(x - 1)

Now, we can simplify the equation to get the final form of the function:

F(x) = -4x + 11

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