Holt CA Course 1

2-6 The Coordinate PlaneVocabulary

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 horizontal axis on a coordinate plane.

The two perpendicular lines of a coordinate plane that intersect at the origin.

Holt CA Course 1

2-6 The Coordinate Plane

y-axis

quadrants

origin

Vocabulary Continued

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).

Holt CA Course 1

2-6 The Coordinate Plane

coordinates

x-coordinate

y-coordinate

Vocabulary Continued

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.

Holt CA Course 1

2-6 The Coordinate PlaneA 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.

Holt CA Course 1

2-6 The Coordinate PlaneA 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.

Holt CA Course 1

2-6 The Coordinate PlaneA 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.

Holt CA Course 1

2-6 The Coordinate PlaneA 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.

Holt CA Course 1

2-6 The Coordinate PlaneA 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.

Holt CA Course 1

2-6 The Coordinate Plane

Example 1: Identifying Quadrants

Name the quadrant where each point is located.

A. X

B. Y

C. S

Quadrant IV

Quadrant III

Quadrant II

Holt CA Course 1

2-6 The 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).

Holt CA Course 1

2-6 The Coordinate Plane

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)

Holt CA Course 1

2-6 The Coordinate Plane

Example 2B: Locating Points on a Coordinate Plane

Give the coordinates of the point.

Y

(–2, –3)

From the origin, Y is 2 units left, and 3 units down.

Holt CA Course 1

2-6 The Coordinate Plane

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 –2 0 2 4

4

2

–2

–4

From the origin, move 4 units right, and 2 units up.

VW

From the origin, move 3 units left, and 1 unit up.

Holt CA Course 1

2-6 The Coordinate PlaneAdditional Example 3: Graphing Points on a

Coordinate Plane

Graph each point on a coordinate plane.

C. Z(0, 4)

D. T(1, –3)

From the origin, move 4 units up.

x

y

–4 –2 0 2 4

4

2

–2

–4

Z

TFrom the origin, move 1 unit right, and 3 units down.

Holt CA Course 1

2-6 The Coordinate Plane

Check It Out! Example 1

Name the quadrant where the point is located.

Z y-axis

Points on the axes are not in any quadrant.Helpful Hint

no quadrant

Holt CA Course 1

2-6 The Coordinate Plane

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)

Holt CA Course 1

2-6 The Coordinate Plane

Check It Out! Example 3

Graph the point on a coordinate plane.

M(–3, –3)

x

y

–4 –2 0 2 4

4

2

–2

–4M

From the origin, move 3 units left, and 3 units down.