Math Problem Statement
Point [C] is graphed on the coordinate plane. A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled C is 6 units to the right of and 5 units down from the origin. [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{6}] [\small{7}] [\small{8}] [\small{9}] [\small{\llap{-}2}] [\small{\llap{-}3}] [\small{\llap{-}4}] [\small{\llap{-}5}] [\small{\llap{-}6}] [\small{\llap{-}7}] [\small{\llap{-}8}] [\small{\llap{-}9}] [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{6}] [\small{7}] [\small{8}] [\small{9}] [\small{\llap{-}2}] [\small{\llap{-}3}] [\small{\llap{-}4}] [\small{\llap{-}5}] [\small{\llap{-}6}] [\small{\llap{-}7}] [\small{\llap{-}8}] [\small{\llap{-}9}] [y] [x] [\purpleD{C}] Which ordered pair represents point [C]? Choose 1 answer: Choose 1 answer: (Choice A) [(-6, -5)] A [(-6, -5)] (Choice B) [(-5, 6)] B [(-5, 6)] (Choice C) [(5, -6)] C [(5, -6)] (Choice D) [(6, -5)] D [(6, -5)]
Solution
To find the coordinates of point , we use the following steps:
- Point is described as being 6 units to the right of the origin. This means the -coordinate is positive, .
- Point is also 5 units down from the origin. This means the -coordinate is negative, .
So, the ordered pair that represents point is .
The correct answer is:
- Choice D: .
Would you like more details or have any questions?
Here are 5 related questions to think about:
- How do you graph points in different quadrants of the coordinate plane?
- What is the significance of positive and negative signs in coordinates?
- How do you determine the distance of a point from the origin?
- What does each axis (x and y) represent in the coordinate plane?
- Can you describe how to find a point that is reflected across the x-axis?
Tip: When graphing, remember that moving to the right or up increases coordinates, while moving to the left or down decreases them!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Cartesian Plane
Graphing Points
Formulas
(x, y) coordinates on the Cartesian plane
Theorems
Concept of Quadrants in Cartesian Plane
Suitable Grade Level
Grades 6-8