Question
A student graphed an ordered pair on a coordinate plane that was located on the y-axis and was 5 units above the origin. Which ordered pair did the student graph with these characteristics?
Ask by Lee Christensen. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The student graphed the ordered pair \((0, 5)\).
Solution
To determine the ordered pair that the student graphed, we need to analyze the conditions given:
1. The point is located on the y-axis. This means that the x-coordinate of the ordered pair is 0.
2. The point is 5 units above the origin. The origin is the point (0, 0), and being 5 units above means we add 5 to the y-coordinate.
Given these conditions, the ordered pair can be expressed as:
\[
(0, 5)
\]
Thus, the ordered pair that the student graphed is \((0, 5)\).
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Simplify this solution The Deep Dive
The ordered pair the student graphed is (0, 5). This is because points on the y-axis have an x-coordinate of 0, while the y-coordinate indicates how far above (positive) or below (negative) the origin the point is located. Since the point is 5 units above the origin, the y-coordinate is 5. If you ever find yourself trying to determine the coordinates on the axes, remember that any point on the y-axis will always have its x-coordinate as 0. Just count how many units up or down to adjust the y-coordinate! In this case, moving 5 units up puts you right at (0, 5).
