Anumber is k units to the left of 0 on the number line. describe the location of its opposite

--(-k)(-3)(-2)(-1)0(+1)---(+2)---(+3)(+k)--

You will notice that all values on the left of "0" are negative and positive on the right .
Moreover
+1 is symmetric to -1 about "0"
+2 is symmetric to -2 about "0"
+3 is symmetric to -3 about "0"

and +k is symmetric to -k about "0"
So the opposite of -k is +k and it's symmetric of -k vs."0"

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.