Holt CA Course 1 2-6 The Coordinate Plane Preparation for AF1.0 Students write verbal expressions...
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Transcript of Holt CA Course 1 2-6 The Coordinate Plane Preparation for AF1.0 Students write verbal expressions...
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
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 (0,0) is called the origin.
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
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
2-6 The Coordinate Plane
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
2-6 The Coordinate Plane
Additional 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
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
2-6 The Coordinate Plane
Check It Out! Example 2A
Give the coordinates of the point.
W
From the origin, V is 3 units left and 1 units up.
(-3, 1)
Holt CA Course 1
2-6 The Coordinate PlaneCheck It Out! Example 3
Graph each point on a coordinate plane.
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
2-6 The Coordinate PlaneCheck It Out! Example 3
Graph each point on a coordinate plane.
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.