What is the largest four-digit negative integer congruent to $1 \pmod{23}?$

-1011

Step-by-step explanation:

An integer that is congruent to 1 mod{23} is of the form 23n+1.

Therefore, we form the inequality 23n+1<-999, and find the largest possible integer n. We get

23n+1<-999

23n<-1000

n < 1000/23, or n < -43.48

The largest possible negative integer n is -44. We plug it in for n to get 23 x -44 +1 =-1011.

i need the options

step-by-step explanation:

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