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

Answer 1

Nathan Axel

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

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)#.

This is how we would proceed 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)#.

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Answer 2

Julia Adams

The ordered pairs for the equation (y = x - 5) can be obtained by selecting various values for (x) and then calculating the corresponding (y) value using the given equation. For example:

When (x = 0), (y = 0 - 5 = -5), so the ordered pair is (0, -5).
When (x = 1), (y = 1 - 5 = -4), so the ordered pair is (1, -4).
When (x = 2), (y = 2 - 5 = -3), so the ordered pair is (2, -3).
And so on, for other values of (x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.