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 CC, we use the following steps:

  1. Point CC is described as being 6 units to the right of the origin. This means the xx-coordinate is positive, 66.
  2. Point CC is also 5 units down from the origin. This means the yy-coordinate is negative, 5-5.

So, the ordered pair that represents point CC is (6,5)(6, -5).

The correct answer is:

  • Choice D: (6,5)(6, -5).

Would you like more details or have any questions?

Here are 5 related questions to think about:

  1. How do you graph points in different quadrants of the coordinate plane?
  2. What is the significance of positive and negative signs in coordinates?
  3. How do you determine the distance of a point from the origin?
  4. What does each axis (x and y) represent in the coordinate plane?
  5. 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