Answer
$y = (-1/4)x + 1$
Work Step by Step
When a line is perpendicular to another line, the slope of it is the negative reciprocal of the other line's slope. The equation of a line is $y=mx+b$ where m is the slope and b is the y-intercept. The slope of line p is $4$, and since line n is perpendicular, the slope of it is $-1/4$. The current equation right now is:
$y = (-1/4x) +b$
The line passes throught point $(8,-1)$ Plug that into the equation above and solve for b
$-1 = (-1/4) * 8 + b$
$-1 = -2 + b$
$b = 1$
The equation is
$y = (-1/4)x + 1$
