Question

if the point (x, y) is in quadrant i, which of the following must be true? x > 0 and y > 0 x > 0 and y < 0 x < 0 and y > 0 x < 0 and y < 0

Explanation:

Step1: Recall quadrant properties

In the Cartesian - coordinate system, in Quadrant I, the x - coordinate is positive and the y - coordinate is positive.

Step2: Analyze options

We check each option against the property of Quadrant I.

• Option 1: $x>0$ and $y > 0$ is consistent with the property of points in Quadrant I.
• Option 2: $x>0$ and $y < 0$ represents points in Quadrant IV.
• Option 3: $x<0$ and $y>0$ represents points in Quadrant II.
• Option 4: $x<0$ and $y < 0$ represents points in Quadrant III.

Answer:

$x>0$ and $y > 0$