Table of Contents
What is an ordered pair on a coordinate plane?
Ordered Pairs. An ordered pair is a set of numbers that tells us where to find a point on a coordinate grid. The first number represents the value on the x-axis and the second number represents the value on the y-axis. Ordered Pairs.
What are the types of ordered pair?
The pair of elements that occur in particular order and are enclosed in brackets are called a set of ordered pairs. If ‘a’ and ‘b’ are two elements, then the two different pairs are (a, b); (b, a) and (a, b); (b, a). In an ordered pair (a, b), a is called the first component and b is called the second component.
What is an ordered pair described by?
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
What makes an ordered pair a function?
A function is a way of dealing with an “input” , applying some “rule” (the function), and then getting an “output” . A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
What is another name for ordered pair?
Ordered pairs are also called 2-tuples, or sequences (sometimes, lists in a computer science context) of length 2. Ordered pairs of scalars are sometimes called 2-dimensional vectors.
What makes an ordered pair not a function?
In order for a relation to be a function, each x must correspond with only one y value. If an x value has more than one y-value associate with it — for example, in the relation {(4, 1), (4,2)}, the x-value of 4 has a y-value of 1 and 2, so this set of ordered pairs is not a function.
Which ordered pair is in quadrant 3?
Tip. Quadrant I: Both x and y-coordinate are positive. Quadrant II: x-coordinate is negative and y-coordinate is positive. Quadrant III: Both x and y-coordinate are negative.
Is 4 an ordered pair?
An ordered pair, (x, y), is a set of numbers that tells us the coordinates of a point in the coordinate plane….Ordered pairs as solutions.
| (-1, 4) | (0, 3) | 2, 1) |
|---|---|---|
| 4 = -(-1) + 3 4 = 1 + 3 4 = 4 | 3 = -(0) + 3 3 = 3 | 1 = -(2) + 3 1 = -2 + 3 1 = 1 |
How do you find a ordered pair?
Ordered pairs are often used to represent two variables. When we write (x, y) = (7, – 2), we mean x = 7 and y = – 2. The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.
What are the two numbers in an ordered pair?
P = (6,4)
Which ordered pair is located in Quadrant IV?
The ordered pair in option C would be located in Quadrant IV. In quadrant IV, all ordered pairs are as follows: (+,-), because it is to the right of zero on the x axis and below zero on the y axis.
Which set of ordered pairs corresponds to the graph?
A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair. It’s always a good idea to start at the origin.
How do you solve for ordered pair?
Find the ordered pair for a system of equations. A simple way to solve a two-equation system is to try to eliminate one of the variable terms, add the two equations and then solve for both variables.