Select the point which lies in the fourth quadrant. (1,4) (-7,7) (8,-6) (-5,-2)

Properties of Fourth Quadrant: Understand the properties of the fourth quadrant. In the Cartesian coordinate system, the fourth quadrant is where the x-coordinate is positive and the y-coordinate is negative.Evaluate Given Points: Evaluate the given points to determine which one lies in the fourth quadrant. We will check each point to see if it has a positive x-coordinate and a negative y-coordinate. Point (1,4): x-coordinate is positive, y-coordinate is positive. This point does not lie in the fourth quadrant.Point (1,4): Evaluate the second point. Point (-7,7): x-coordinate is negative, y-coordinate is positive. This point does not lie in the fourth quadrant.Point (-7,7): Evaluate the third point. Point (8,-6): x-coordinate is positive, y-coordinate is negative. This point does lie in the fourth quadrant.Point (8,-6): Evaluate the fourth point for completeness. Point (-5,-2): x-coordinate is negative, y-coordinate is negative. This point does not lie in the fourth quadrant.

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Q. Select the point which lies in the fourth quadrant.

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(1,4)

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(-7,7)

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(8,-6)

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(-5,-2)

Properties of Fourth Quadrant: Understand the properties of the fourth quadrant. $\newline$ In the Cartesian coordinate system, the fourth quadrant is where the $x$ -coordinate is positive and the $y$ -coordinate is negative.
Evaluate Given Points: Evaluate the given points to determine which one lies in the fourth quadrant. $\newline$ We will check each point to see if it has a positive $x$ -coordinate and a negative $y$ -coordinate. $\newline$ Point $(1,4)$ : $x$ -coordinate is positive, $y$ -coordinate is positive. $\newline$ This point does not lie in the fourth quadrant.
Point $(1,4)$ : Evaluate the second point. $\newline$ Point $(-7,7)$ : $x$ -coordinate is negative, $y$ -coordinate is positive. $\newline$ This point does not lie in the fourth quadrant.
Point $(-7,7)$ : Evaluate the third point. $\newline$ Point $(8,-6)$ : $x$ -coordinate is positive, $y$ -coordinate is negative. $\newline$ This point does lie in the fourth quadrant.
Point $(8,-6)$ : Evaluate the fourth point for completeness. $\newline$ Point $(-5,-2)$ : $x$ -coordinate is negative, $y$ -coordinate is negative. $\newline$ This point does not lie in the fourth quadrant.