Holt CA Course 1 2-6 The Coordinate Plane Preparation for AF1.0 Students write verbal expressions and sentences as algebraic expressions and equations;

Holt CA Course 1

2-6 The Coordinate Plane

Preparation for AF1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results.

California Standards

Holt CA Course 1

2-6 The Coordinate PlaneVocabulary

coordinate planeaxesx-axisy-axisquadrantsorigincoordinatesx-coordinatey-coordinate

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


• The horizontal axis is called the x-axis.

Holt CA Course 1


• The vertical axis is called the y-axis.

Holt CA Course 1


• The two axes divide the coordinate plane into four quadrants.

Holt CA Course 1


• The point where the axes intersect (0,0) is called the origin.

Holt CA Course 1


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


Additional 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


Additional Example 2A: Locating Points on a Coordinate Plane

Give the coordinates of the point.

XFrom the origin, X is 4 units right and 1 unit down.

(4, –1)

Holt CA Course 1


Additional Example 2B: Locating Points on a Coordinate Plane


Y

(–2, –3)

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

Holt CA Course 1


Additional 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 down.

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 PlaneCheck It Out! Example 1

Name the quadrant where each point is located.

A. V

B. Z

C. T

Quadrant I

y-axis

Quadrant IV

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

no quadrant

Holt CA Course 1


Check It Out! Example 2A


W

From the origin, V is 3 units left and 1 units up.

(-3, 1)

Holt CA Course 1



A. L(3, 4)

B. M(–3, –3)x

y

–4 –2 0 2 4

4

2

–2

–4

From the origin, move 3 units right, and 4 units up.

L

M

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

Holt CA Course 1



C. P(1, –2)

D. G(–4, –2)

From the origin, move 1 unit right and 2 units down.

x

y

–4 –2 0 2 4

4

2

–2

–4

PGFrom the origin, move 4 units left, and 2 units down.

Documents

Holt CA Course 1 2-6 The Coordinate Plane Preparation for AF1.0 Students write verbal expressions and sentences as algebraic expressions and equations;