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How to Identify Coordinates of Points A and B on a Cartesian Graph
Mathematics
Grade 6 of Primary School
Question Content
Identify the coordinates of the points A and B on the provided Cartesian coordinate graph.
Correct Answer
A: (2, 5); B: (6, 2)
Detailed Solution Steps
1
Step 1: Recall that coordinates on a Cartesian plane are written as (x, y), where x is the horizontal distance from the origin (0,0) and y is the vertical distance.
2
Step 2: For point A: Move horizontally from the origin to the right 2 units to reach the x-position of A, then move vertically up 5 units to reach the point. So the x-coordinate is 2 and the y-coordinate is 5, giving A: (2, 5).
3
Step 3: For point B: Move horizontally from the origin to the right 6 units to reach the x-position of B, then move vertically up 2 units to reach the point. So the x-coordinate is 6 and the y-coordinate is 2, giving B: (6, 2).
Knowledge Points Involved
1
Cartesian Coordinate System
A two-dimensional plane formed by intersecting a horizontal x-axis and vertical y-axis at a point called the origin (0,0). It is used to locate positions of points using ordered pairs (x, y), where x represents horizontal position and y represents vertical position.
2
Ordered Pairs for Coordinates
A pair of numbers written in the form (x, y) that defines the position of a point on a Cartesian plane. The first number (x) is the horizontal coordinate, measured along the x-axis from the origin, and the second number (y) is the vertical coordinate, measured along the y-axis from the origin.
3
Locating Points on a Grid
To find the coordinates of a point on a grid, first count the number of units horizontally from the origin to the point to get the x-coordinate, then count the number of units vertically from the origin to the point to get the y-coordinate. Positive values are to the right (x) and up (y) from the origin.
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