Full solution

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

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(6,-7)

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(3,1)

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(-2,5)

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(-1,-1)

Understand Quadrant Characteristics: Understand the characteristics 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 are looking for a point with a positive $x$ -coordinate and a negative $y$ -coordinate. $\newline$ Point $(6,-7)$ : $x$ -coordinate is positive and $y$ -coordinate is negative. $\newline$ Point $(3,1)$ : $x$ -coordinate is positive but $y$ -coordinate is also positive. $\newline$ Point $(-2,5)$ : $x$ -coordinate is negative and $y$ -coordinate is positive. $\newline$ Point $y$ $1$ : $x$ -coordinate is negative and $y$ -coordinate is negative.
Select Point for Fourth Quadrant: Select the point that meets the criteria for the fourth quadrant. $\newline$ From the evaluation in Step $2$ , the point $(6,-7)$ has a positive $x$ -coordinate and a negative $y$ -coordinate, which fits the description of a point in the fourth quadrant.