How to graph an ordered pair - ACT Math
Card 0 of 20
Which of the following coordinate pairs is farthest from the origin?
Which of the following coordinate pairs is farthest from the origin?
Using the distance formula, calculate the distance from each of these points to the origin, (0, 0). While each answer choice has coordinates that add up to seven, (-1, 8) is the coordinate pair that produces the largest distance, namely 
, or approximately 8.06.
Using the distance formula, calculate the distance from each of these points to the origin, (0, 0). While each answer choice has coordinates that add up to seven, (-1, 8) is the coordinate pair that produces the largest distance, namely
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In the standard xy coordinate plane, what quadrant(s) could point A lie in, if its x-coordinate and y-coordinate have opposite signs?
In the standard xy coordinate plane, what quadrant(s) could point A lie in, if its x-coordinate and y-coordinate have opposite signs?
We know that right of the origin represents the positive x-direction, and above the origin represents the positive y-direction. For Quadrant I, both the x-coordinate and y-coordinate must be positive, i.e. (+,+). For quadrant II, the x-coordinate is negative, while the y-coordinate is positive, i.e. (+, -). For Quadrant III, both coordinates must be negative, i.e. (-, -). For Quadrant IV, the x-coordinate is positive, and the y-coordinate is negative, i.e. (+, -).
We know that right of the origin represents the positive x-direction, and above the origin represents the positive y-direction. For Quadrant I, both the x-coordinate and y-coordinate must be positive, i.e. (+,+). For quadrant II, the x-coordinate is negative, while the y-coordinate is positive, i.e. (+, -). For Quadrant III, both coordinates must be negative, i.e. (-, -). For Quadrant IV, the x-coordinate is positive, and the y-coordinate is negative, i.e. (+, -).
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Which pair of coordinates lies within quadrant II?
Which pair of coordinates lies within quadrant II?
By definition, quadrant I has positive coordinates, quadrant II has 
coordinates, quadrant III has negative coordinates, and quadrant IV has 
coordinates, as shown by the diagram below. Only one answer choice falls within quadrant II. All others lie in other coordinates or one of the axes.
- Quadrant II
- Quadrant I
- x-axis
- y-axis
- Quadrant III
By definition, quadrant I has positive coordinates, quadrant II has
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What is the following ordered pair?
What is the following ordered pair?
In order to find the values of a graphed ordered pair, you first need to the count across the x-axis (horizontal) and then across the y-axis (vertical). The middle of the x-axis and y-axis is called the origin and represents (0,0). Any movement to the left or below the origin is negative. Any movement to the right or above the origin is positive. Therefore, the coordinate for the graphed ordered pair would be two across the x-axis in the positive direction and three across the y-axis in the positive direction, or 
.
In order to find the values of a graphed ordered pair, you first need to the count across the x-axis (horizontal) and then across the y-axis (vertical). The middle of the x-axis and y-axis is called the origin and represents (0,0). Any movement to the left or below the origin is negative. Any movement to the right or above the origin is positive. Therefore, the coordinate for the graphed ordered pair would be two across the x-axis in the positive direction and three across the y-axis in the positive direction, or
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In which Quadrant is the point 
located?
In which Quadrant is the point
To find out which quadrant a point lives in, we need to remember the qualities of each quadrant. By qualities, I mean the signs associated with the x and y values which are dependent on the quadrant the point resides in.
All coordinate pairs that are in Quadrant I will have a positive x value and a positive y value.
All coordinate pairs that are in Quadrant II will have a negative x value and a positive y value.
All coordinate pairs that are in Quadrant III will have a negative x value and a negative y value.
All coordinate pairs that are in Quadrant IV will have a positive x value and a negative y value.
For the point 
, we see that both the x and y coordinates are positive therefore, the point resides in Quadrant I. Another way to check, we can start from the origin and going right 4 units and up 3 units we will be in the upper-right section of the coordinate-plane, which is also known as Quadrant I.
To find out which quadrant a point lives in, we need to remember the qualities of each quadrant. By qualities, I mean the signs associated with the x and y values which are dependent on the quadrant the point resides in.
All coordinate pairs that are in Quadrant I will have a positive x value and a positive y value.
All coordinate pairs that are in Quadrant II will have a negative x value and a positive y value.
All coordinate pairs that are in Quadrant III will have a negative x value and a negative y value.
All coordinate pairs that are in Quadrant IV will have a positive x value and a negative y value.
For the point
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What are the coordinates of Point A, and in which quadrant is it located?
What are the coordinates of Point A, and in which quadrant is it located?
Coordinate points are given x-coordinate first, y-coordinate second. Quadrants are numbered counter-clockwise, with Quadrant I consisting of positive x-coordinates and positive y-coordinates, Quadrant II consisting of negative x-coordinates and positive y-coordinates, Quadrant III consisting of negative x-coordinates and negative y-coordinates, and Quadrant IV consisting of positive x-coordinates and negative y-coordinates.
(3, -2), Quadrant IV is correct because it lists the coordinates in the correct order and correctly identifies the Quadrant.
(3, -2), Quadrant II is incorrect because, while it lists the coordinates in the correct order, it misidentifies the Quadrant.
(-2, 3), Quadrant IV is incorrect because, while it correctly identifies the Quadrant, it lists the coordinates in the incorrect order.
(-2, 3), Quadrant II is incorrect because it both lists the coordinates in the incorrect order and misidentifies the Quadrant.
Coordinate points are given x-coordinate first, y-coordinate second. Quadrants are numbered counter-clockwise, with Quadrant I consisting of positive x-coordinates and positive y-coordinates, Quadrant II consisting of negative x-coordinates and positive y-coordinates, Quadrant III consisting of negative x-coordinates and negative y-coordinates, and Quadrant IV consisting of positive x-coordinates and negative y-coordinates.
(3, -2), Quadrant IV is correct because it lists the coordinates in the correct order and correctly identifies the Quadrant.
(3, -2), Quadrant II is incorrect because, while it lists the coordinates in the correct order, it misidentifies the Quadrant.
(-2, 3), Quadrant IV is incorrect because, while it correctly identifies the Quadrant, it lists the coordinates in the incorrect order.
(-2, 3), Quadrant II is incorrect because it both lists the coordinates in the incorrect order and misidentifies the Quadrant.
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Which graph correctly represents the position of the point at 
?
Which graph correctly represents the position of the point at
Coordinate points are given x-coordinate first, y-coordinate second. The correct representation plots the point one unit to the left of the origin on the x-axis and four units up from the origin on the y-axis.
Coordinate points are given x-coordinate first, y-coordinate second. The correct representation plots the point one unit to the left of the origin on the x-axis and four units up from the origin on the y-axis.
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Which of the following correctly identifies Points A and B, in that order, on the line?
Which of the following correctly identifies Points A and B, in that order, on the line?
Coordinate points are given x-coordinate first, y-coordinate second.
(-2, 1), (2, 4) is correct because it list the coordinates of each point in the correct order.
(1, -2), (4, 2) is incorrect because it lists the coordinates of each point in the incorrect order.
(2, 4), (-2, 1) is incorrect because, while it lists the coordinates of each point correctly, it misidentifies the points.
(4, 2), (1, -2) is incorrect because it both lists the coordinates of each point in the incorrect order and misidentifies the points.
Coordinate points are given x-coordinate first, y-coordinate second.
(-2, 1), (2, 4) is correct because it list the coordinates of each point in the correct order.
(1, -2), (4, 2) is incorrect because it lists the coordinates of each point in the incorrect order.
(2, 4), (-2, 1) is incorrect because, while it lists the coordinates of each point correctly, it misidentifies the points.
(4, 2), (1, -2) is incorrect because it both lists the coordinates of each point in the incorrect order and misidentifies the points.
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Which point best represents the coordinates 
?
Which point best represents the coordinates
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to 
, move left on the x-axis by 
, then move up on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
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Which point best represents the coordinate 
?
Which point best represents the coordinate
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to 
, only move up by 
on the y-axis. Do not move along the x-axis because the x-coordinate is 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
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Which point best represents the coordinate 
?
Which point best represents the coordinate
To get to 
, move right on the x-axis by 
then move up on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
To get to 
, move left on the x-axis by 
then move down the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to 
, move right on the x-axis by 
, then move down on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to 
, move right on the x-axis by 
then move down on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
To get to 
, move right along the x-axis by 
, then move up on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to 
, move left on the x-axis by 
, then move up on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
To get to 
, move left on the x-axis by 
, then down on the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to 
, only move right on the x-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
To get to 
, move right along the x-axis by 
, then up along the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
Compare your answer with the correct one above
Which point best represents the coordinate 
?
Which point best represents the coordinate
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin 
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to 
, move along the x-axis by 
, then move up along the y-axis by 
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
To get to
Compare your answer with the correct one above