1.8 LESSON The Coordinate Plane A coordinate plane is formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. The axes meet at a point called the origin and divide the coordinate plane into four quadrants. Each point in a coordinate plane is represented by an ordered pair. The first number is the x-coordinate, and the second number is the y-coordinate. Point P is represented by the ordered pair (–3, –2). Point P is in Quadrant III.

1.8 The Coordinate Plane 1 A Naming Points in a Coordinate Plane LESSON The Coordinate Plane EXAMPLE 1 Naming Points in a Coordinate Plane Give the coordinates of the point. A SOLUTION Point A is 2 units to the right of the origin and 4 units down. The x-coordinate is 2, and the y-coordinate is –4. The coordinates are (2, –4).

1.8 The Coordinate Plane 1 A B Naming Points in a Coordinate Plane LESSON The Coordinate Plane EXAMPLE 1 Naming Points in a Coordinate Plane Give the coordinates of the point. A B SOLUTION Point A is 2 units to the right of the origin and 4 units down. The x-coordinate is 2, and the y-coordinate is –4. The coordinates are (2, –4). Point B is 3 units to the left of the origin and 2 units up. The x-coordinate is –3, and the y-coordinate is 2. The coordinates are (–3, 2).

1.8 The Coordinate Plane 2 A(4, 1) LESSON The Coordinate Plane EXAMPLE 2 Plotting Points in a Coordinate Plane Plot the point in a coordinate plane. Describe the location of the point. A(4, 1) SOLUTION Begin at the origin and move 4 units to the right, then 1 unit up. Point A is in Quadrant I.

1.8 The Coordinate Plane 2 A(4, 1) B(0, –3) LESSON The Coordinate Plane EXAMPLE 2 Plotting Points in a Coordinate Plane Plot the point in a coordinate plane. Describe the location of the point. A(4, 1) B(0, –3) SOLUTION Begin at the origin and move 4 units to the right, then 1 unit up. Point A is in Quadrant I. Begin at the origin and move 3 units down. Point B is on the y-axis.

1.8 The Coordinate Plane 2 A(4, 1) B(0, –3) C(–2, –5) LESSON The Coordinate Plane EXAMPLE 2 Plotting Points in a Coordinate Plane Plot the point in a coordinate plane. Describe the location of the point. A(4, 1) B(0, –3) C(–2, –5) SOLUTION Begin at the origin and move 4 units to the right, then 1 unit up. Point A is in Quadrant I. Begin at the origin and move 3 units down. Point B is on the y-axis. Begin at the origin and move 2 units to the left, then 5 units down. Point C is in Quadrant III.

1.8 LESSON The Coordinate Plane Scatter Plots A scatter plot uses a coordinate plane to display paired data. Each data pair is plotted as a point. A scatter plot may suggest whether a relationship exists between two sets of data.

1.8 The Coordinate Plane 3 Making a Scatter Plot LESSON The Coordinate Plane EXAMPLE 3 Making a Scatter Plot Fish A biologist measured the lengths and masses of eight rainbow trout. Make a scatter plot of the data shown in the table and describe any relationship you see. Length (millimeters) 405 360 413 395 247 280 265 351 Mass (grams) 715 557 754 584 184 248 223 506 SOLUTION 1 Write the data as ordered pairs. Let the x-coordinate represent the length, and let the y-coordinate represent the mass: (405, 715), (360, 557), (413, 754), (395, 584), (247, 184), (280, 248), (265, 223), (351, 506) 2 Plot the ordered pairs in a coordinate plane. You need only the first quadrant. Notice that the points rise from left to right. You can conclude that as the lengths of the rainbow trout increase, their masses tend to increase.