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In which quadrant does the point
(2,-6) lie?
1st Quadrant
2nd Quadrant
3rd Quadrant
4th Quadrant

In which quadrant does the point $(2,-6)$ lie? $\newline$ $1$ st Quadrant $\newline$ $2$ nd Quadrant $\newline$ $3$ rd Quadrant $\newline$ $4$ th Quadrant

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Full solution

Q. In which quadrant does the point

(2,-6)

lie?

\newline

1

st Quadrant

\newline

2

nd Quadrant

\newline

3

rd Quadrant

\newline

4

th Quadrant

Identify x-coordinate sign: Identify the sign of the x-coordinate. $\newline$ The x-coordinate of the point $(2,-6)$ is $2$ , which is positive.
Identify y-coordinate sign: Identify the sign of the y-coordinate. The y-coordinate of the point $(2,-6)$ is $-6$ , which is negative.
Determine quadrant: Determine the quadrant based on the signs of the $x$ and $y$ coordinates. $\newline$ Since the $x$ -coordinate is positive and the $y$ -coordinate is negative, the point lies in the quadrant where $x$ is positive and $y$ is negative.
Match signs to quadrant: Match the signs of the coordinates to the correct quadrant. $\newline$ The quadrant where $x$ is positive and $y$ is negative is the $4^{\text{th}}$ Quadrant.

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