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How to Find the Coordinates of Point B on a Coordinate Grid
Mathematics
Grade 6 (Primary School)
Question Content
Find the x- and y-coordinates of point B. The coordinates of B are ____ (Type an ordered pair.)
Correct Answer
(2, 3)
Detailed Solution Steps
1
Step 1: Locate point B on the coordinate grid.
2
Step 2: To find the x-coordinate, count the number of horizontal units from the origin (0,0) to point B. Point B is 2 units to the right of the origin, so the x-coordinate is 2.
3
Step 3: To find the y-coordinate, count the number of vertical units from the origin (0,0) to point B. Point B is 3 units above the origin, so the y-coordinate is 3.
4
Step 4: Write the coordinates as an ordered pair in the format (x, y), which is (2, 3).
Knowledge Points Involved
1
Coordinate Plane Basics
A coordinate plane is a 2D plane formed by the intersection of a horizontal x-axis and vertical y-axis, meeting at the origin (0,0). It is used to locate points using ordered pairs. This is foundational for graphing equations, shapes, and data in math.
2
Ordered Pairs
An ordered pair (x, y) is a pair of numbers used to identify a point on a coordinate plane. The first number (x) is the horizontal distance from the origin, and the second number (y) is the vertical distance. The order is fixed: x always comes before y.
3
Reading Coordinates of a Point
To find the coordinates of a point, first determine how far left/right it is from the origin for the x-coordinate (positive right, negative left), then how far up/down it is for the y-coordinate (positive up, negative down). This skill is used for graphing points, identifying vertices of shapes, and analyzing graphs.
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