What quadrant is the coordinate (2,4) in?

Answer 1

For the Cartesian coordinate axes, we have the following depiction:

For quadrant #"I"#, the coordinates are both positive, i.e. you have #(x,y)# where #x,y > 0#. So, it is in the upper-right.

For quadrant #"II"#, you have #(x,y)# where #y > 0# but #x < 0#. So, it is in the upper-left.

For quadrant #"III"#, the coordinates are both negative, i.e. you have #(x,y)# where #x,y < 0#. So, it is in the lower-left.

For quadrant #"IV"#, you have #(x,y)# where #x > 0# but #y < 0#. So, it is in the lower-right.

Using that information, I'll bounce the question back to you: what quadrant is #(2,4)# in? For this, #x = 2# and #y = 4#; that is, #x# is two units to the right of #0#, and #y# is four units above #0#.

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Answer 2

Eva Abramson

The coordinate (2,4) is located in the first quadrant of the coordinate plane.

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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.