Question

write an equation for the horizontal line that passes through (-4,8). if possible, write a formula for a linear function whose graph is the given line. the equation of the horizontal line that passes through (-4,8) is y = 8. (simplify your answer. type an equation.) if possible, write a formula for a linear function whose graph is the given line. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the corresponding linear function is f(x) = \square. b. a corresponding linear function cannot be written.

Explanation:

Step1: Recall horizontal line form

A horizontal line has the form $y = k$, where $k$ is a constant (the y-coordinate of all points on the line).

Step2: Identify k from the point

The line passes through $(-4, 8)$, so $k=8$. The equation is $y=8$.

Step3: Write as linear function

A linear function is written as $f(x) = y$, so substitute $y=8$.

Answer:

A. The corresponding linear function is $f(x) = 8$.