YOU CAN locate and graph points on the coordinate plane.

The two number lines are called the axes. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The two number lines are called the axes.

The horizontal axis is called the x-axis. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The horizontal axis is called the x-axis.

The vertical axis is called the y-axis. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The vertical axis is called the y-axis.

The two axes divide the coordinate plane into four quadrants. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The two axes divide the coordinate plane into four quadrants.

The point where the axes intersect is called the origin. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point where the axes intersect is called the origin.

Identifying Quadrants Name the quadrant where each point is located. A. X B. Y C. S Quadrant IV Quadrant III Quadrant II

Name the quadrant where each point is located. YOU TRY! Example 1 Name the quadrant where each point is located. A. V B. Z C. T Quadrant I y-axis no quadrant Quadrant IV Helpful Hint Points on the axes are not in any quadrant.

The COORDINATE (x, y) gives the location of a point on a coordinate plane. First number (x-coordinate): right (positive) or left (negative) from origin Second number (y-coordinate) : up (positive) or down (negative) from origin The ordered pair for the origin is (0,0).

Locating Points on a Coordinate Plane Give the coordinates of each point. X 4 units RIGHT, and 1 unit DOWN. (4, –1)‏ Y 2 units LEFT, and 3 units DOWN. (–2, –3)‏

Locating Points on a Coordinate Plane Give the coordinates of each point. S 3 units LEFT, and 3 units UP. (-3, 3)‏ Z 0 units RIGHT, and 4 units UP. (0, 4)‏

Give the coordinates of each point. T YOU TRY! Example 2 Give the coordinates of each point. T 1 units RIGHT and 3 units DOWN. (1, -3)‏ V 4 units RIGHT, and 2 units UP. (4, 2)‏

Graphing Points on a Coordinate Plane Graph each point on a coordinate plane. A. V(4, 2)‏ B. W(–3, 1)‏ x y From the origin, move 4 units right, and 2 units up. 4 V W 2 –4 –2 0 2 4 –2 From the origin, move 3 units left, and 1 unit up. –4

Graphing Points on a Coordinate Plane Graph each point on a coordinate plane. C. Z(0, -4)‏ D. T(1, –3)‏ x y From the origin, move 0 units right, move 4 units down. 4 2 –4 –2 0 2 4 –2 T From the origin, move 1 unit right, and 3 units down. –4 Z

Graph each point on a coordinate plane. L(3, 4)‏ YOU TRY! Example 3 Graph each point on a coordinate plane. L(3, 4)‏ B. M(–3, –3)‏ C. P(1, –2)‏ D. G(–4, –2)‏ x y L 4 2 –4 –2 0 2 4 G –2 P M –4

Reflection CAN YOU locate and graph points on the coordinate plane?

Lesson Quiz Name the quadrant where each ordered pair is located. 1. (3, –5) 2. (–4, –2) 3. (6, 2) 4. (–7, 9)‏ Give the coordinates of each point. 5. A 6. B 7. C 8. D IV III I II (–2, 3)‏ (1, 2)‏ (0, –2)‏ (–2, –3)‏

HOMEWORK WORKSHEET 9-3