holt ca course 1 2-6 the coordinate plane vocabulary coordinate plane axes x-axis a plane formed by...
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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.