What is a Pair of Numbers Used to Locate a Point in the Coordinate Plane?
A pair of numbers is used to locate a point in the coordinate plane. These numbers are called the coordinates of the point. The first number is the x-coordinate, and the second number is the y-coordinate. The x-coordinate tells us how far the point is from the origin along the x-axis, and the y-coordinate tells us how far the point is from the origin along the y-axis.
The coordinate plane is a two-dimensional plane that is divided into four quadrants. The x-axis is the horizontal axis, and the y-axis is the vertical axis. The origin is the point where the x-axis and the y-axis intersect. The four quadrants are labeled I, II, III, and IV.
The coordinates of a point can be positive or negative. A positive x-coordinate indicates that the point is to the right of the origin, and a negative x-coordinate indicates that the point is to the left of the origin. A positive y-coordinate indicates that the point is above the origin, and a negative y-coordinate indicates that the point is below the origin.
Here are some examples of coordinates:
- (3, 4) is a point that is 3 units to the right of the origin and 4 units above the origin.
- (-5, 2) is a point that is 5 units to the left of the origin and 2 units above the origin.
- (0, -3) is a point that is on the y-axis, 3 units below the origin.
- (0, 0) is the origin.
We can use coordinates to graph points on the coordinate plane. To graph a point, we first find the x-coordinate and then the y-coordinate. We then plot the point at the intersection of the x-axis and the y-axis.
The coordinate plane is a useful tool for representing and analyzing data. It can be used to graph functions, solve equations, and track the movement of objects.
Conclusion
A pair of numbers is used to locate a point in the coordinate plane. These numbers are called the coordinates of the point. The x-coordinate tells us how far the point is from the origin along the x-axis, and the y-coordinate tells us how far the point is from the origin along the y-axis.
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