Problem 35 - Introductory Algebra for College Students

Question

In which quadrants do the \(x\) -coordinates and the \(y\) -coordinates have the same sign?

Step-by-Step Solution

Answer

The x and y coordinates have the same sign in Quadrant I and Quadrant III.

Step 1: Identify Quadrant I properties

In Quadrant I, both x and y coordinates are positive. So they have same sign which is positive.

Step 2: Identify Quadrant II properties

In Quadrant II, x coordinate is negative and y coordinate is positive. So they have different signs.

Step 3: Identify Quadrant III properties

In Quadrant III, both x and y coordinates are negative. So they have same sign which is negative.

Step 4: Identify Quadrant IV properties

In Quadrant IV, x coordinate is positive and y coordinate is negative. So they have different signs.