Transcript Can we put a picture of my book cover here?

Chapter 4
Linear Equations in Two
Variables
Section 4.1 Introduction
Deciding whether an Ordered Pair is a
Solution to an Equation
Ex. 1
Complete Ordered Pairs for a Given
Equation
Ex. 2
Table of Values for an Equation
Table of
Values
Problem
continued
Ex. 4
Plot
Ordered
Pairs
Ex. 5
Solution to Plotting Points
5) then move 5 units up
From
the
origin
move
right 1
unit
The points (-5, -2),
(0,1) and (-4, 0)
are also plotted.
Plot Points from a Table of Values
Ex. 6
Plot Points from a Table of Values (cont.)
Solve
Applied
Problems
Involving
Ordered
Pairs
Applied
Problem
with
Ordered
Pairs cont.
Applied Problem with Ordered Pairs cont.
Sect. 4.2
Graphing by
Plotting Points
and Finding
Intercepts
Ex.
1
Graphing Example continued
Graphing Example continued
Another
example of
Graphing a
Line
Ex. 2
Graph a Linear Equation by Finding the
Intercepts
Example of Graphing by Finding the
Intercepts
Ex. 3
Example of Graphing by Finding the
Intercepts continued
Graph Linear Equations of the Form x = c
and y = d
Ex.
4
Graphing Horizontal Lines
Ex. 5
Model Data with a Linear Equation
Ex, 6
Modeling Problem continued
Modeling Problem continued
The graph of the equation y = 464.2x + 9202 is
shown below.
Sect. 4.3 The Slope of a Line
Example of Slope
Ex. 1
Find the Slope of a Line Given Two Points
on the Line
Finding the Slope of a Line continued
Example of Finding the Slope
Ex. 2 Find the slope of the following line:
Ex. 3
Use Slope
to Solve
Applied
Problems
Find the Slope of Horizontal and Vertical
Line
Ex. 4 (a) Find the slope of the line containing (-1, 2) and (3, 2)
Finding the Slope of a Vertical Line
b) Find the slope of the line containing (-3, 4) and (-3, -1)
Use Slope and One Point on a Line to
Graph the Line
Ex. 5 Graph the line containing the point (2, -5) with a slope of 7/2.
Sect. 4.4 The Slope-Intercept Form of a
Line
Ex. 1 Graph the equation y = -4/3 x + 2
Rewrite Equation in Slope-Intercept Form
and Graph
Ex. 2 Put the equation 5x+3y = 12 into slopeintercept form, and graph.
Sect. 4.5 Writing an Equation of a Line
Rewriting in Standard Form
Rewrite the equation 3x + 8 = -2y in standard form.
Write the Equation of a Line Given Its
Slope and y-intercept
Ex. 2
Use the Point-Slope Formula to Write an
Equation of a Line Given Its Slope and a
Point on the Line
Example of Using Point-Slope Form
Another example of Using Point-Slope
Formula
Ex. 4
Use the Point-Slope Formula to Write and
Equation of a Line Given Two Points
Two-Point Problem continued
Write Equations of Horizontal and Vertical
Lines
Ex. 6
Write a
Linear
Equation to
Model RealWorld Data
Air
Pollution
Problem
continued
Summary - Writing Equations of Lines
Sect. 4.6 Parallel and Perpendicular Lines
Use Slope to Determine if Two Lines are
Parallel
Ex. 1 Determine whether the pair of lines is parallel: 3x + 6y = 10
x + 2y = -12
Use Slope to Determine if Two Lines Are
Perpendicular
Ex. 2
Example of Perpendicular Lines cont.
Write an Equation of a Line that is Parallel
to a Given Line
Ex. 3
Write an Equation of a Line that is Parallel
to a Given Line continued
Write an Equation of a Line that is
Perpendicular to a Given Line
Ex, 4
Perpendicular
Line Example
continued
Section 4.7 Introduction to Functions
Relation,
Function,
Domain
and
Range
Ex. 1
Answers to Relation Example
Use Vertical Line Test to Determine
Whether a Graph Represents a Function
Definition: A relation is a function if each x-value corresponds to exactly one y-value.
Vertical Line Test
Graph represents a
function.
Graph does not
represent a function.
Find Domain and Range of a Relation from
Its Graph
Ex. 3
Given an Equation, Determine Whether y is
a Function of x
Ex. 4
Example of Function continued
Given an Equation, Find the Domain and
Determine if y is a Function of x
Ex. 5
Given an Equation, Find the Domain and
Determine if y is a Function of x cont.
Sect. 4.8 Function Notation and Linear
Functions
Example of Evaluating a Function
Ex. 1
Find Function Values for Real Number
Values of the Variable
Ex. 2
Evaluate a Function for a Given Variable or
Expression
Ex. 3
Define and Graph a Linear Function
Ex. 4
Use a Linear Function to Solve an Applied
Problem
Ex. 5
Answers
to
Applied
Problem