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

Understand the Quadrant: Understand the characteristics of the first quadrant. In the Cartesian coordinate system, the first quadrant is the area where both x (horizontal axis) and y (vertical axis) coordinates are positive.Evaluate Given Points: Evaluate the given points to determine which one has both coordinates positive. (6,4) - Both x and y are positive. (5,-5) - x is positive, but y is negative. (-6,6) - x is negative, y is positive. (-1,-7) - Both x and y are negative.Select Point in Quadrant: Select the point that lies in the first quadrant. Based on the evaluation in Step 2, the point (6,4) is the only point with both coordinates positive, which means it lies in the first quadrant.

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

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(6,4)

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(5,-5)

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(-6,6)

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(-1,-7)

Understand the Quadrant: Understand the characteristics of the first quadrant. $\newline$ In the Cartesian coordinate system, the first quadrant is the area where both $x$ (horizontal axis) and $y$ (vertical axis) coordinates are positive.
Evaluate Given Points: Evaluate the given points to determine which one has both coordinates positive. $\newline$ $(6,4)$ - Both $x$ and $y$ are positive. $\newline$ $(5,-5)$ - $x$ is positive, but $y$ is negative. $\newline$ $(-6,6)$ - $x$ is negative, $y$ is positive. $\newline$ $(-1,-7)$ - Both $x$ and $y$ are negative.
Select Point in Quadrant: Select the point that lies in the first quadrant. $\newline$ Based on the evaluation in Step $2$ , the point $(6,4)$ is the only point with both coordinates positive, which means it lies in the first quadrant.