Answer:
mp = 11/8
Explanation:
y = -8/11x + 4
This line is in the form
y = mx+b where m is the slope and b is the y intercept
m = -8/11
Perpendicular lines have slopes that multiply to -1
-8/11 * mp = -1
Multiply each side by -11/8
-11/8 * -8/11 * mp = -1 *-11/8
mp = 11/8
The perpendicular slope is 11/8