Vocabulary coordinate plane axes x-axis A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. The two perpendicular lines of a coordinate plane that intersect at the origin. The horizontal axis on a coordinate plane.

Vocabulary Continued y-axis quadrants origin The vertical axis on a coordinate plane. The four regions formed when x- and y-axes divide the coordinate plane. The point where the x-axis and y-axis intersect on the coordinate plane; (0,0).

Vocabulary Continued coordinates x-coordinate y-coordinate The numbers of an ordered pair that locate a point on a coordinate graph. The first number in an ordered pair; it tells the distance to move right or left from the origin. The second number in a ordered pair; it tells the distance to move up or down from the origin.

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 point of intersection is the zero on each number line. 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 point of intersection is the zero on each number line. 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 point of intersection is the zero on each number line. 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 point of intersection is the zero on each number line. 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 of intersection is the zero on each number line. The point where the axes intersect is called the origin.

Example 1: Identifying Quadrants Name the quadrant where each point is located. A. X B. Y C. S Quadrant IV Quadrant III Quadrant II

An ordered pair gives the location of a point on a coordinate plane An ordered pair gives the location of a point on a coordinate plane. The first number tells how far to move right (positive) or left (negative) from the origin. The second number tells how far to move up (positive) or down (negative). The numbers in an ordered pair are called coordinates. The first number is called the x-coordinate. The second number is called the y-coordinate. The ordered pair for the origin is (0,0).

Example 2A: Locating Points on a Coordinate Plane Give the coordinates of the point. X From the origin, X is 4 units right and 1 unit down. (4, –1)

Example 2B: Locating Points on a Coordinate Plane Give the coordinates of the point. Y From the origin, Y is 2 units left, and 3 units down. (–2, –3)

Additional Example 2C: Locating Points on a Coordinate Plane Give the coordinates of the point. S From the origin, S is 3 units left, and 3 units up. (–3, 3)

Check It Out! Example 2B Give the coordinates of the point. Z From the origin, Z is 0 units right, and 4 units up. (0, 4)

Check It Out! Example 2C Give the coordinates of the point. T From the origin, T is 1 unit right, and 3 units down. (1, –3)

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

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

Name the quadrant where the point is located. Check It Out! Example 1 Name the quadrant where the point is located. Z y-axis no quadrant Helpful Hint Points on the axes are not in any quadrant.

Check It Out! Example 2 Give the coordinates of the point. W From the origin, W is 3 units left and 1 unit up. (-3, 1)

Graph the point on a coordinate plane. M(–3, –3) Check It Out! Example 3 Graph the point on a coordinate plane. M(–3, –3) x y 4 2 From the origin, move 3 units left, and 3 units down. –4 –2 0 2 4 –2 M –4

Graph each point on a coordinate plane. C. P(1, –2) Check It Out! Example 3 Graph each point on a coordinate plane. C. P(1, –2) D. G(–4, –2) x y From the origin, move 1 unit right and 2 units down. 4 2 –4 –2 0 2 4 From the origin, move 4 units left, and 2 units down. –2 G P –4