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If (x + 1, y - 2) = (-3, 5) then x + 1 = -3 and y - 2 = 5. Important Notes on Ordered Pairs: An ordered pair (x, y) is used to represent the location of a point in coordinate geometry where x is the horizontal distance and y is the vertical distance of the point. An ordered pair (x, y) represents an element of a relation R which is denoted by ...
- Overview
- What is an ordered pair?
- Using Linear Equations
- Plotting on a Graph
- Practice Problems
- Practice Problem Solutions
What is an ordered pair?
On a Cartesian (or "coordinate") plane, each point is represented by an ordered pair .
A line can have infinite points, but how do you find the ordered pairs that correspond to them? Read on to learn how to easily find ordered pairs and place them on a graph. Then, use the practice problems to test what you've learned.
to find the ordered pair
An ordered pair is a set of numbers that tells you the location of a point on a coordinate plane.
The ordered pair is always expressed exactly the same way:
The first number represents the
coordinate on the plane while the second number represents the
-coordinate tells you how far away the point is horizontally from the
-coordinate tells you how far away the point is vertically from the
Start with a standard linear equation .
In this standard linear equation, represents the coordinate of a point and represents the coordinate of that same point. So you have two variables you'll need to find—your ordered pair.
is a linear equation. If you see a "
" instead of a "
If you're working on a problem that asks you to determine whether a given ordered pair is a solution to the equation provided, you'd just plug in the numbers for
and see if they worked.
Start at the origin of the graph.
A standard rectangular coordinate plane is bisected horizontally by the axis and vertically by the axis. The point in the center of the plane where the two axes intersect is the
The coordinates of the origin are . The axes divide the graph into four quadrants, each of which is labeled by Roman numerals:
the upper-right quadrant of the plane; all points in this quadrant have positive
the upper-left quadrant of the plane; all points in this quadrant have negative
the lower-left quadrant of the plane; all points in this quadrant have negative
Find three solutions to the equation , using , , and for .
Convert the equation from standard form to slope-intercept or function form (
Braden lives blocks north and block east of school. Riley lives blocks south and blocks west of school. Write the ordered pairs that represent each house.
In this problem, assume that "school" is the origin of the coordinate plane and each block is one line.
Ms. Frizzle wants to take her class to a special show at the local Science Museum. Tickets for the special show are $5 each, plus a $2 fee for each ticket. Determine the total cost for 18 students. Write your answer as an ordered pair.
represent the number of tickets so you can solve for
The ordered pairs are , , and .
Start by converting the equation by adding to both sides, then simplify to get . Swap the order so it matches the slope-intercept form, and you have . Now all you have to do is solve each of the three equations:
, so your ordered pair is
, so your ordered pair is
, so your ordered pair is
The ordered pairs are and .
An ordered pair is a pair of elements or numbers written in a specific and fixed order. On a Cartesian plane, an ordered pair (x, y) is defined as the coordinates of a point such that “x” is the x-coordinate and “y” is the y-coordinate. Ordered pair examples: (1,2), (-4, 5), (-9, -8)
On the coordinate plane to the right, points A and B are specified using the ordered pairs (3, -1) and (2, -3), respectively. Cartesian coordinate plane. The use of ordered pairs is most often seen in the Cartesian coordinate plane. An ordered pair, (x, y), is a set of numbers that tells us the coordinates of a point in the coordinate plane.
prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) ... ordered pairs. en. Related Symbolab blog posts. Practice, practice, practice. Math can be an intimidating subject ...
May 31, 2024 · In mathematical notation, an ordered pair is typically written as (x, y) where 'x' and 'y' are the elements of the pair. An ordered pair denoted as (x, y), maintains the sequence of its elements while an unordered pair does not consider the order. For example, (1, 2) is distinct from (2, 1) in ordered pairs but they represent the same set in ...
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Ordered pair. Analytic geometry associates to each point in the Euclidean plane an ordered pair. The red ellipse is associated with the set of all pairs (x, y) such that x2 4 + y2 = 1. In mathematics, an ordered pair, denoted (a, b), is a pair of objects in which their order is significant. The ordered pair (a, b) is different from the ...
