Question

write an equation for the line perpendicular to the line y = 15 and passing through (7, -8). if possible, write a formula for a linear function whose graph is the given line. the equation of the line perpendicular to the line y = 15 and passing through (7, -8) is x = 7. (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: Identify original line type

The line $y=15$ is a horizontal line, slope $m_1=0$.

Step2: Find perpendicular line slope

A line perpendicular to horizontal is vertical, undefined slope.

Step3: Write vertical line equation

Vertical line through $(7,-8)$ has constant $x$-value: $x=7$.

Step4: Check linear function validity

A vertical line cannot be written as a linear function $f(x)=mx+b$ (since it fails vertical line test for functions).

Answer:

B. A corresponding linear function cannot be written.