About Graphing Linear Equations:

A linear equation in two variables is of the form: ax + by = c. We previously learned how to find ordered pair solutions. We can plot those ordered pairs on a coordinate plane. We then sketch a line through the points to visually display the solution set. We place arrows at each end of the line to indicate the line continues forever in each direction.


Test Objectives
  • Demonstrate the ability to create a table of ordered pairs
  • Demonstrate the ability to plot ordered pairs on a coordinate plane
  • Demonstrate the ability to graph a linear equation in two variables
Graphing Linear Equations Practice Test:

#1:

Instructions: graph each and give the x and y intercepts

$$a)\hspace{.2em}x + 3y=9$$


#2:

Instructions: graph each and give the x and y intercepts

$$a)\hspace{.2em}-2x + 5y=10$$


#3:

Instructions: graph each and give the x and y intercepts

$$a)\hspace{.2em}-x - y=4$$


#4:

Instructions: graph each and give the x and y intercepts

$$a)\hspace{.2em}7x + 3y=21$$


#5:

Instructions: graph each and give the x and y intercepts

$$a)\hspace{.2em}4x + 3y=12$$


Written Solutions:

#1:

Solutions:

a) x-intercept: (9,0), y-intercept: (0,3)

graph of

#2:

Solutions:

a) x-intercept: (-5,0), y-intercept: (0,2)

graph of

#3:

Solutions:

a) x-intercept: (-4,0), y-intercept: (0,-4)

graph of

#4:

Solutions:

a) x-intercept: (3,0), y-intercept: (0,7)

graph of

#5:

Solutions:

a) x-intercept: (3,0), y-intercept: (0,4)

graph of