Answer:
is in the second quadrant of a cartesian plane.
Explanation:
The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:
.
(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)
A point in the form
is on the right half of the plane (to the right of the vertical axis) if
. This point is on the vertical axis through the middle of the plane if
. Otherwise, if
, this point would be on the left half of the plane (to the left of the vertical axis.)
The
-coordinate of
is
.
Since the
-coordinate of this point is below zero (
), this point would be on the left-hand side of the origin to the left of the vertical axis.
Likewise, a point in the form
is above the horizontal axis if
, on the horizontal axis if
, and below the horizontal axis if
.
The
-coordinate of the given point
in this question is
.
Since the
-coordinate of this point is greater than zero (
), this point would be above the horizontal axis.
Thus, the point
would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence,
would be in the second quadrant of the plane.