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How do you plot ordered pairs?
How do you graph an ordered pair?
What is an ordered pair?
How do you write an ordered pair?
Why do ordered pairs line up with other points in a series?
How does an ordered pair tell you the location of a point?
An ordered pair tells you the location of a point by relating the point’s location along the x- axis (the first value of the ordered pair) and along the y -axis (the second value of the ordered pair). In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.
- Graphing Linear Equations
To find out whether an ordered pair is a solution of a...
- Graphing Linear Equations
- 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 .
To find out whether an ordered pair is a solution of a linear equation, you can do the following: Graph the linear equation, and graph the ordered pair. If the ordered pair appears to be on the graph of a line, then it is a possible solution of the linear equation.
There are several ways to create a graph from a linear equation. One way is to create a table of values for x and y, and then plot these ordered pairs on the coordinate plane. Two points are enough to determine a line.
Jul 11, 2024 · Plot the following ordered pairs of whole numbers: (3, 2), (8, 6), and (2, 7). Solution. Create a Cartesian coordinate system on graph paper, then: To plot the ordered pair (3, 2), start at the origin, then move 3 units to the right and 2 units up. To plot the ordered pair (8, 6), start at the origin, then move 8 units to the right and 6 units up.
In this section, we will learn how to plot ordered pairs (x,y) on the Cartesian Coordinate System, which is also known as the Coordinate Plane or Rectangular Coordinate Plane. We first explain how the coordinate plane is set up.
Locations on the coordinate plane are described as ordered pairs. An ordered pair tells you the location of a point by relating the point’s location along the x- axis (the first value of the ordered pair) and along the y-axis y −axis (the second value of the ordered pair).
