Question
Point \( K \) is located 6 units to the right of the origin and 4 units up on the coordinate plane, What are the coordinates of point \( K \) ? (A) \( (0,10) \) (B) \( (4,6) \) (C) \( (6,4) \) (D) \( (10,0) \)
Ask by Flynn Little. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The coordinates of point \( K \) are \( (6,4) \).
Solution
1. The point \( K \) is described as being 6 units to the right of the origin. This means the \( x \)-coordinate is 6.
2. The point \( K \) is also 4 units up from the origin. This means the \( y \)-coordinate is 4.
3. Therefore, the coordinates of point \( K \) are \( (6,4) \).
The correct answer is \( (6,4) \), which corresponds to option (C).
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Simplify this solution Bonus Knowledge
The coordinates of point \( K \) can be determined by how far it is positioned from the origin (0, 0) on the coordinate plane. Since \( K \) is 6 units to the right of the origin, this means its x-coordinate is 6. Additionally, because it is 4 units up from the origin, the y-coordinate is 4. Therefore, the coordinates of point \( K \) are \( (6, 4) \). Thus, the correct answer is (C) \( (6, 4) \).
