1-2: Two Variable Equations
Objectives:
1. To create equations
in two variables to
represent
relationships
between quantities
2. To graph twovariable equations
Assignment:
• P. 10: 18-22
• P. 15-16: 10-21
• Alg II Textbook: P. 81:
1-9 odd
Objective 2
You will be able
to graph twovariable
equations
Linear Equation
The word linear refers to two things:
Graph is a line
Highest power of
any variable is one
A linear equation in two variables can be
written in the form 𝑎𝑥 + 𝑏𝑦 = 𝑐.
Linear equations have a
constant rate of change
Calvin and Hobbes!
A toaster is an example of a function. You put
in bread, the toaster performs a toasting
function, and out pops toasted bread.
Calvin and Hobbes!
You can’t input
bread and
expect a waffle!
What comes out
of a toaster?
It depends on
what you put in.
Dependent Quantities
Functions can also be thought of as dependent
relations. In a function, the value of the output
depends on the value of the input.
Independent Quantity
Input values
Dependent Quantity
Output values
𝑥-values
𝑦-values
Domain
Range
Continuous
Discrete
Analog vs. Digital
Analog: A signal
created by some
physical process
 Sound,
temperature, etc.
 Contains an infinite
amount of data
Digital: A numerical
representation of
an analog signal
created by samples
 Not continuous =
set of points
 Contains a finite
amount of data
Digital Signal Processing
Original Analog Signal
Digital Samples
Digital Signal Processing
Digital signal processing is about converting
an analog signal into digital information,
doing something to it, and usually
converting it back into an analog signal.
Continuous vs. Discrete
Continuous Function:
A function whose graph
consists of an
unbroken curve
Discrete Function:
A function whose graph
consists of a set of
discontinuous points
1-2: Two Variable Equations
Objectives:
1. To create equations
in two variables to
represent
relationships
between quantities
2. To graph twovariable equations
Assignment:
• P. 10: 18-22
• P. 15-16: 10-21
• Alg II Textbook: P. 81:
1-9 odd