yes
A point.
point
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
This is called plotting the point on the Cartesian or coordinate plane.
Ordered pair
Yes, a coordinate plane can represent multiple ordered pairs, as each pair corresponds to a specific point on the plane. For example, the point (2, 3) can be represented as (2, 3) or by using different forms, such as polar coordinates. However, each unique ordered pair corresponds to one distinct point in the Cartesian coordinate system.
No, a point on a coordinate plane cannot be represented by more than one ordered pair. Each ordered pair corresponds to a specific location defined by its x (horizontal) and y (vertical) coordinates. While multiple points can share the same x or y coordinate, each unique point has a distinct combination of the two coordinates.
No, a point on a coordinate plane can be represented by only one ordered pair. Each point corresponds uniquely to a specific pair of coordinates (x, y), where 'x' indicates its horizontal position and 'y' indicates its vertical position. While different points can share the same x or y values, each distinct point has a unique combination of these coordinates.
Ordered pairs are commonly used in various real-life scenarios. For instance, in a coordinate system, the location of a point on a map can be represented as an ordered pair of latitude and longitude. In a database, a student's ID number and their corresponding grade can be represented as an ordered pair, such as (Student ID, Grade). Additionally, in a grocery store, the price of an item can be expressed as an ordered pair of (Item Name, Price).
The origin, in the Cartesian coordinate system, is the point with coordinates (0, 0). So, if you have another ordered pair, the ordered pair doesn't "have an origin"; rather, the origin is another point.
A point, in two dimensional space, is defined as an ordered pair.
It is the geometric representation, in the Cartesian plane, of the ordered pair.
ordered pair
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Finding the data point for an ordered pair is easy to do. The first coordinate marks a place along the X axis, while the second marks a place along the Y axis. Find the first point on the horizontal axis, then move up or down along the vertical axis to reach the exact data point.
The second number in an ordered pair (x,y) is the y-coordinate for that point.
There is no ordered pair for y =4. y=4 is a line, not a point.