How do you determine the quadrant of the point (3, -7)?

The point (3, -7) is in the fourth quadrant.

To determine the quadrant of a point on a Cartesian plane, you need to look at the signs of its x and y coordinates. The Cartesian plane is divided into four quadrants:

1. **First Quadrant**: Both x and y coordinates are positive (x > 0, y > 0).
2. **Second Quadrant**: The x coordinate is negative, and the y coordinate is positive (x < 0, y > 0).
3. **Third Quadrant**: Both x and y coordinates are negative (x < 0, y < 0).
4. **Fourth Quadrant**: The x coordinate is positive, and the y coordinate is negative (x > 0, y < 0).

For the point (3, -7), the x coordinate is 3, which is positive, and the y coordinate is -7, which is negative. According to the rules above, a point with a positive x coordinate and a negative y coordinate lies in the fourth quadrant.

Visualising the Cartesian plane can also help. Imagine the plane divided by the x-axis (horizontal) and y-axis (vertical). The fourth quadrant is located in the bottom-right section of this plane. This is where all points with positive x values and negative y values are found. So, by checking the signs of the coordinates, you can quickly determine that (3, -7) is indeed in the fourth quadrant.