Final answer:
To determine which points lie on a horizontal line, we look for pairs with the same y-coordinate. Points B) (5, 3) and C) (-5, 3) have the same y-coordinate of 3, indicating they lie on a horizontal line.
Step-by-step explanation:
The question asks to identify which of the following ordered pairs represents points that lie on a horizontal line. This question relates to the concept of linear equations and understanding of the Cartesian coordinate system.
A horizontal line in the Cartesian plane is defined as a line with a slope of zero, which means that all points on the line have the same y-coordinate. Looking at the options provided, we must find the pair of points that share the same y-coordinate.
- A) (2, 4)
- B) (5, 3)
- C) (-5, 3)
- D) (-2, 4)
By examining these points, we see that points B) (5, 3) and C) (-5, 3) both have the same y-coordinate, which is 3. Therefore, these points lie on a horizontal line.