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How to Find the x and y Coordinates of Point B on a Coordinate Grid
Mathematics
Grade 6
Question Content
Find the x- and y-coordinates of point B. (Type an ordered pair.)
Correct Answer
(2, 4)
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 the point. 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 the point. Point B is 4 units above the origin, so the y-coordinate is 4.
4
Step 4: Write the coordinates as an ordered pair in the format (x, y), which is (2, 4).
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, plotting data, and understanding spatial relationships 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 (positive to the right, negative to the left), and the second number (y) is the vertical distance (positive upward, negative downward). Ordered pairs are the standard way to represent points in coordinate geometry.
3
Identifying Coordinates of a Point
To find the coordinates of a point, first determine its horizontal position relative to the origin for the x-coordinate, then its vertical position for the y-coordinate. This skill is essential for basic graphing tasks, mapping, and solving coordinate-based problems.
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