How to graph an ordered pair - Geometry

On the coordinate plane, a point with a negative -coordinate and a negative -coordinate lies in the lower left quadrant - Quadrant III.

By definition, only Quadrant III contains ordered pairs that have both negative - and -coordinates.

On the coordinate plane, a point with a negative -coordinate and a positive -coordinate lies in the upper left quadrant - Quadrant II.

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.

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

If and have the same sign, then , and the point has a positive -coordinate. The sign of is the same as the common sign of and . Therefore, only the -coordinate restricts the possibilities.

The points witn positive -coordinates are in Quadrant I and Quadrant IV.

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 .

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.

The ordered pair has a negative -coordinate and a positive -coordinate. By definition, all ordered pairs with negative -coordinates and a positive -coordinates exist in Quadrant II.

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. 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.

(-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.

The ordered pair consists of a positive -coordinate and a positive -coordinate. The only quadrant that consists entirely of positive - and -coordinates is Quadrant I.

The ordered pair consists of a positive -coordinate and a -coordinate of . The only part of the coordinate plane on which all points have a zero -coordinate is the -axis.

The ordered pair has a zero -coordinate and a nonzero -coordinate. By definition, all ordered pairs with zero -coordinates and nonzero -coordinates is on the -axis.

By definition, all ordered pairs with positive -coordinates and positive -coordinates are in Quadrant I. Therefore, the only ordered pair in this quadrant is .

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 . 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 .

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.