Problem 33
Question
In which quadrants are the \(y\) -coordinates positive?
Step-by-Step Solution
Verified Answer
The y-coordinates are positive in Quadrants 1 and 2.
1Step 1: Identifying the Quadrants
A standard Cartesian plane is divided into 4 quadrants, where Quadrant 1 is in the upper right, Quadrant 2 is in the upper left, Quadrant 3 is in the lower left, and Quadrant 4 is in the lower right.
2Step 2: Understanding the Sign of Coordinates in Each Quadrant
In Quadrant 1, both x and y coordinates are positive. In Quadrant 2, x coordinate is negative while y coordinate is positive. In Quadrant 3, both x and y coordinates are negative. Lastly, in Quadrant 4, x coordinate is positive while y coordinate is negative.
3Step 3: Finding the Quadrants where Y-coordinate is positive
Referring to the coordinates' signs in each quadrant from Step 2, the quadrants where y-coordinate is positive are Quadrants 1 and 2.
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