What are the ordered pairs of y=x-5?

1 Answer
Mar 30, 2017

#(-2,-7)#
#(-1,-6)#
#(0,-5)#
#(1,-4)#
#(2,-3)#

Explanation:

Because #x# is our independent variable, we choose the #x# integers and solve for #y#.

Usually, the five typical #x# integers are #-2, -1, 0, 1#, and #2#.

If #x=-2#, we can plug that number in for #x# in our main equation. #-2-5=-7#, so if #x=-2#, #y=-7#.
#(-2,-7)#.

We'd continue with this step for the next four numbers.

If #x=-1#,
#-1-5=-6#, so if #x=-1#, then #y=-6#.
#(-1,-6)#.

If #x=0#,
#0-5=-5#, so if #x=0#, then #y=-5#.
#(0,-5)#.

If #x=1#,
#1-5=-4#, so if #x=1#, then #y=-4#.
#(1,-4)#.

If #x=2#,
#2-5=-3#, so if #x=2#, then #y=-3#.
#(2,-3)#.