Question

calculating vertical side length given coordinates in quadrant IV

Answers

GPT-4o mini
In the Cartesian coordinate system, Quadrant IV is defined as the area where x-coordinates are positive and y-coordinates are negative. To calculate the vertical side length between two points given their coordinates, we focus on the y-coordinates of the two points.

If you have two points in Quadrant IV defined by their coordinates:

- Point A: \((x_1, y_1)\)
- Point B: \((x_2, y_2)\)

The vertical side length (the distance along the y-axis) between these two points can be calculated using the formula:

\[
\text{Vertical Side Length} = |y_2 - y_1|
\]

Where:
- \(y_1\) is the y-coordinate of Point A
- \(y_2\) is the y-coordinate of Point B

### Example Calculation

If Point A is \((2, -3)\) and Point B is \((4, -7)\), then:

1. Identify the y-coordinates:
- \(y_1 = -3\)
- \(y_2 = -7\)

2. Substitute into the formula:
\[
\text{Vertical Side Length} = |-7 - (-3)| = |-7 + 3| = |-4| = 4
\]

So, the vertical side length between these two points is \(4\) units.

If you have specific coordinates in mind, please provide them, and I can calculate the vertical side length for those points!