Section 3.1
Graphing Equations
Objectives:
• Plot Ordered Pairs
• Determine whether an ordered pair of numbers is a
solution to an equation in two variables
• Graph linear equations
• Graph nonlinear equations
Review the Rectangular Coordinate System:
On the grid, locate and label the following:
• Origin
• x-axis (_______________)
• y-axis (_______________)
• Quadrants I, II, III and IV
Review the Rectangular Coordinate System:
On the grid, plot the following points and name
the quadrants in which they lie:
These points are called:
_________________ ________________
Why?
Solutions to equations in two variables:
What makes an ordered pair a solution to an equation?
Are the following ordered pairs solutions to the equation
What would we do to find another solution to this equation?
?
Linear and Nonlinear Equations:
Standard form of a linear equation:
Slope-intercept form of a line:
Other types of equations:
Graphing Linear Equations using a
Table of Values:
Finding x and y intercepts
To find an x intercept:
To find a y intercept:
Graphing Non‐Linear Equations using a
Table of Values:
*Note: For nonlinear equations, you
will want to use at least 5 points to
get a feel for what the graph will
look like!
Graphing Non‐Linear Equations using a
Table of Values:
Graphing Non‐Linear Equations using a
Table of Values: