Math: The Coordinate Plane and Graphing Points
Reading ordered pairs and locating points on a grid
Math: The Coordinate Plane and Graphing Points
Reading ordered pairs and locating points on a grid
Math - Grade 6-8
- 1
Point A is located at (3, 5). What is the x-coordinate and what is the y-coordinate of Point A?
Read the ordered pair from left to right.
The x-coordinate is 3 and the y-coordinate is 5. In an ordered pair, the first number is the x-coordinate and the second number is the y-coordinate. - 2
Point B is located at (-4, 2). In which quadrant is Point B?
Quadrant II contains points with negative x-values and positive y-values.
Point B is in Quadrant II because the x-coordinate is negative and the y-coordinate is positive. - 3
Point C is located at (6, -3). In which quadrant is Point C?
Point C is in Quadrant IV because the x-coordinate is positive and the y-coordinate is negative. - 4
Point D is located at (-2, -7). In which quadrant is Point D?
Quadrant III is left of the y-axis and below the x-axis.
Point D is in Quadrant III because both coordinates are negative. - 5
Point E is located at (0, 8). Is Point E on an axis or in a quadrant?
Point E is on the y-axis because its x-coordinate is 0. Points on an axis are not in any quadrant. - 6
Point F is located at (-5, 0). Is Point F on an axis or in a quadrant?
If y equals 0, the point lies on the x-axis.
Point F is on the x-axis because its y-coordinate is 0. Points on an axis are not in any quadrant. - 7
Write the ordered pair for a point that is 4 units to the right of the origin and 6 units up.
The ordered pair is (4, 6). Moving right gives a positive x-coordinate, and moving up gives a positive y-coordinate. - 8
Write the ordered pair for a point that is 3 units to the left of the origin and 2 units down.
Left means negative x and down means negative y.
The ordered pair is (-3, -2). Moving left gives a negative x-coordinate, and moving down gives a negative y-coordinate. - 9
A point has coordinates (7, 0). Describe its location on the coordinate plane.
The point is on the x-axis, 7 units to the right of the origin. Since the y-coordinate is 0, it does not lie in a quadrant. - 10
A point has coordinates (0, -9). Describe its location on the coordinate plane.
The point is on the y-axis, 9 units below the origin. Since the x-coordinate is 0, it does not lie in a quadrant. - 11
List the signs of the x-coordinate and y-coordinate for points in Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
Start in Quadrant I and move counterclockwise around the plane.
In Quadrant I, both x and y are positive. In Quadrant II, x is negative and y is positive. In Quadrant III, both x and y are negative. In Quadrant IV, x is positive and y is negative. - 12
Point G is at (2, 4) and Point H is at (2, -5). What do these two points have in common?
The two points have the same x-coordinate, so they lie on the same vertical line. Both points are 2 units to the right of the y-axis. - 13
Point J is at (-6, 1) and Point K is at (3, 1). What do these two points have in common?
Points with the same y-coordinate are level with each other.
The two points have the same y-coordinate, so they lie on the same horizontal line. Both points are 1 unit above the x-axis. - 14
Plotting point M starts at the origin, then moves 5 units left and 4 units up. What are the coordinates of point M, and in which quadrant is it located?
The coordinates of point M are (-5, 4), and it is in Quadrant II. The x-coordinate is negative because the point moved left, and the y-coordinate is positive because the point moved up. - 15
Plotting point N starts at the origin, then moves 8 units right and 7 units down. What are the coordinates of point N, and in which quadrant is it located?
Right means positive x, and down means negative y.
The coordinates of point N are (8, -7), and it is in Quadrant IV. The x-coordinate is positive because the point moved right, and the y-coordinate is negative because the point moved down.