1.3 Graphing Systems of Equations

Algebra II

Cartesian Coordinate Plane

x-axis

Quadrant IVQuadrant III

Quadrant II Quadrant I

y-axis

Originx-axis

(4, 2)

Graphing a Function

Graph: y = 2x – 1 (Steps: 1. Make a table of values

2. Plot the points

3. Connect the dots)

x y

x

y

You Try

Graph: y = –x + 2 (Steps: 1. Make a table of values

2. Plot the points

3. Connect the dots)

x y

x

y

Graphing a function…

• Nonlinear: x = y² – 4

x y

x

y

Systems of Equations

Find the solution of the following system by graphing:

x y

x

y

x y

Graphing 2-Variable Inequalities

Graph:

x

y

x y

Graphing a System of Inequalities

Graph:

x

y

x y x y

You Try

Graph:

x

y

x y x y

Exit Slip

Graph each on GRAPH paper and turn in before you leave.

1. Find the solution to the system:

2. Graph the system and shade the area that represents the solution: