Objective

1
Objective

• To be able to recognize Horizontal and Vertical
  lines on the coordinate plane.

2
Plot the points(3,-3), (3,-2), (3,-1),
(3,0),(3,1), (3,2), (3,3)
What do you notice about all the x values that
were plotted?
The Equation of the line is x 3
Y
X
3
Now you Plot the points (1,-3), (1,-2), (1,-1),
(1,0),(1,1), (1,2), (1,3)
What is the equation of the line?
The Equation of the line is x 1
Y
X
4
What did you notice about all the x values

• When the x values are the same, what does the
  equation begin with?

5
Plot the points(-2,2), (0,2), (3,2)
y 2
Y
X
What is the equation of the line?
6
Now you Plot the points(-2,5), (0,5), (3,5)
Y
y 5
X
What is the equation of the line?
7
What did you notice about all the y values

• When the y values are the same, what does the
  equation begin with?

8
Graph the lines x 4 y -2
(4,-2)
What is the intersection pt. of the 2 lines?
Y
X
9
Write equations for the horizontal line and the
vertical line that pass through the point (-1, 4)

• x -1
• y 4

10
x -1 y 4
y 4
Y
X
x -1
11
Write the equations of the line

• 1.) (3,5), (3,-1), (3,0), (3,-2)
• 2.) (5,5), (5,-1), (5,0), (5,-2)

x 3
x 5
12
Write the equations of the line

• 3.) (3,5), (-1,5), (0,5), (1,5)
• 4.) (3,-2), (-1,-2),(0,-2),(1,-2)

y 5
y -2
13
Write the Equation of the line
Passes thru the point 4 on the x-axis
x 4
Y
X
14
Write the Equation of the line
Passes thru the point -2 on the x-axis
x -2
Y
X
15
Write the Equation of the line
y 2
Y
X
Passes thru the point 2 on the y-axis
16
Write the Equation of the line
Passes thru the point -5 on the y-axis
Y
X
y -5
17
How could you describe your Relation?

• A group of People in the same family
• Example
• aunt, uncle, cousin, brother, sister, parents

18
What is a Relation in Algebra?

• A group of ordered Pairs
• Example
• (3,2) , (-1,4) , (-3,-6)

19
Functions

• Relations are functions if the 1st number of the
  ordered pair is different from all the others.

20
Find the Functions

• 1.) (1,1) (3,2) (-6,1)
• 1.) Function
• 2.) (3,1) (3,2) (-6,1)
• 2.) Not a Function
• 3.) (5,1) (-3,-2) (-4,2)
• 3.) Function

21
Find the Functions

• 4.) (4,1) (3,2) (-1,1)
• 4.) Function
• 5.) (1,1) (-6,2) (-6,1)
• 5.) Not a Function
• 6.) (1,3) (3,2) (3,1)
• 6.) Not a Function

22
Linear Functions

• Linear Functions are equations that can be
  written in the form
• y mx b So..
• y 3x 2 is a linear function
• y 3x2 2 is not a linear
  function

23
Apply the Vertical line to test for functions
Y
X
24
Apply the Vertical line to test for functions
Y
X
25
Apply the Vertical line to test for functions
Y
X
26
Apply the Vertical line to test for functions
Y
X
27
Apply the Vertical line to test for functions
Y
X