The Coordinate Plane

1
The Coordinate Plane
y
x
Unit 1 Chapter 1, Section 1
2
The Coordinate Plane

• Coordinate Plane

• The grid system made up of two perpendicular axes
  used to plot points.

y
x

• The horizontal number line on a coordinate
  plane.

• x-axis

• y-axis

• The vertical number line on a coordinate
  plane.

3
The Coordinate Plane

• Origin

• The point of intersection of the two axes.

(0, 0)
y
II
I
x
III
IV

• Quadrants

• The four areas into which the coordinate plane
  is divided.

4
The Coordinate Plane

• Ordered Pair

• A pair of numbers used to locate points in a
  plane.

(x, y)

• The first number in an ordered pair. A points
  horizontal placement.

• x-coordinate

• The second number in an ordered pair. A
  points vertical placement.

• y-coordinate

5
The Coordinate Plane

• Example 1 Plot the point (4, 2) and determine
  which quadrant it lies in.

• Move right 4 units.
• Up 2 units.

6
The Coordinate Plane

• Example 1 Plot the point (4, 2) and determine
  which quadrant it lies in.

(4, 2) is in quadrant I.
7
The Coordinate Plane
Collinear
- Points that lie on the same line.
Noncollinear
- Points that do not lie on the same line.
Example 2 Name all points collinear to point F.
Point E
Example 3 Name all points noncollinear to point
F.
Point D
8
The Coordinate Plane
Example 4 Name three points that lie on the
graph of 6x-2y 12.
1. Create an input/output table.
-1 0 1
-9 -6 -3
2. Choose three x-values.
3. Use the equation to find the corresponding
y-value.
Answer (-1, -9), (0, -6), (1, -3)