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