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Chapter 1: Problem 17

Determine the quadrant(s) in which \((x, y)\) is located so that the condition(s) is (are) satisfied. $$ x=-4 \text { and } y>0 $$

Short Answer

Expert verified
The given conditions, \(x = -4\) and \(y > 0\), indicate that the point is in Quadrant II.

Step by step solution

01

Understanding the Cartesian Coordinate System

The Cartesian coordinate system is divided into four quadrants labelled as Q1, Q2, Q3, Q4. Each quadrant represents a combination of positive and negative values of x and y. In Q1: Both x and y are positive. In Q2: x is negative and y is positive. In Q3: Both x and y are negative. In Q4: x is positive and y is negative.
02

Analyzing the Given Conditions

It is given that \(x = -4\) and \(y > 0\). This means the x-value is negative and the y-value is positive.
03

Determining the Quadrant

Looking at the characteristics of each quadrant, the quadrant where \(x\) is negative and \(y\) is positive is Quadrant II.

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