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Write the linear function f(x) with the given values f(-2)=6 and f(0)=-4

A. F(x)=-4x-5
B. F(x)=-5x-4
C. F(x)=4/5x-4
D. F(x)=-5/4x-5

User Pmkent
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Final answer:

To write the linear function with the given values f(-2)=6 and f(0)=-4, calculate the slope using the formula (change in y)/(change in x) to find the slope of -5, and use the y-intercept of -4. Thus, the linear function is F(x) = -5x - 4.

Step-by-step explanation:

To write the linear function f(x) with the given values f(-2)=6 and f(0)=-4, we need to find the slope and y-intercept of the line. We can use the formula for the slope (m) given by:

m = (y2 - y1)/(x2 - x1)

Using the given points (-2, 6) and (0, -4), we can find the slope:

m = (-4 - 6)/(0 - (-2))

m = (-10)/2

m = -5

The y-intercept (b) is the value of f(x) when x=0, which is given as -4. Therefore, b = -4.

The linear equation is of the form y = mx + b, so it becomes:

f(x) = -5x - 4

So the correct function is B. F(x) = -5x - 4.

User Songz
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