Transcript The Coordinate Plane

The Coordinate Plane
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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.
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.
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.
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.
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.
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 1: Identifying Quadrants
Name the quadrant where each point is
located.
A. X
B. Y
C. S
Example 2
Name the quadrant where each point is
located.
A. V
B. Z
C. T
Helpful Hint
Points on the axes are not in any quadrant.
Example 3
Give the coordinates of each point.
X
Y
S
V
Z
T
Example 4
Graph each point on a coordinate plane.
y
A. V(4, 2)
4
2
B. W(–3, 1)
x
–4
–2
0
–2
–4
2
4
Example 4 Continued
Graph each point on a coordinate plane.
C. Z(0, –4)
y
4
2
D. T(1, –3)
x
–4
–2
0
–2
–4
2
4
Example 5
Graph each point on a coordinate plane.
A. L(3, 4)
y
4
2
B. M(–3, –3)
x
–4
–2
0
–2
–4
2
4