What is the slope of a line perpendicular to line b?
a. -5/2
b.-5/3
c.-2/5
d. -1

Line B : (3,5)(-1,-5)
slope = (-5-5) / (-1-3) = -10/-4 = 5/2...slope here is 5/2
A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of a number, flip the number and change the sign, So our perpendicular line will have a slope of -2/5 

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.