# Graphing Linear Equations Chapter 7

```Chapter 7
Graphing
Linear
Equations
Copyright &copy; 2015, 2011, 2007 Pearson Education, Inc.
Chapter 7-1
Chapter Sections
7.1 – The Cartesian Coordinate System and
Linear Equations in Two Variables
7.2 – Graphing Linear Equations
7.3 – Slope of a Line
7.4 – Slope-Intercept and Point-Slope Forms of
a Linear Equation
7.5 – Graphing Linear Inequalities
7.6 – Functions
Copyright &copy; 2015, 2011, 2007 Pearson Education, Inc.
Chapter 7-2
2
Graphing Linear
Inequalities
Copyright &copy; 2015, 2011, 2007 Pearson Education, Inc.
Chapter 7-3
3
Linear Inequalities
A linear inequality in two variables can be written in
one of the following forms:
ax + by &lt; c, ax + by &gt; c, ax + by  c, ax + by  c
where a, b, and c are real numbers and a and b are not 0
Examples:
2x + 3y &gt; 25
– x – 2y  3
3y &lt; 4x - 9
Copyright &copy; 2015, 2011, 2007 Pearson Education, Inc.
Chapter 7-4
4
Graph Linear Inequalities
1.
Replace the inequality symbol with an equals sign.
2.
Draw the graph of the equation in step 1. If the original
inequality contained the a  or , draw the boundary line
using a solid line. If the original inequality contained the
symbol &lt; or &gt;, draw the boundary line using a dashed line.
3.
Select any point not on the boundary line and determine if
this point is a solution to the original inequality. If it is,
shade the region on the side of the line containing this
point. If it is not a solution, shade the region on the side of
the line not containing the point.
Copyright &copy; 2015, 2011, 2007 Pearson Education, Inc.
Chapter 7-5
5
Graph Linear Inequalities
Graph y &lt; 2x + 1.
dashed line
Checkpoint (0, 0 )
satisfies the
inequality.
Copyright &copy; 2015, 2011, 2007 Pearson Education, Inc.