### 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

#1:

Instructions: graph each and give the x and y intercepts.

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

$$b)\hspace{.2em}3x + y=-4$$

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#2:

Instructions: graph each and give the x and y intercepts.

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

$$b)\hspace{.2em}x=-2$$

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#3:

Instructions: graph each and give the x and y intercepts.

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

$$b)\hspace{.2em}y=-8$$

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#4:

Instructions: graph each and give the x and y intercepts.

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

$$b)\hspace{.2em}4x - 5y=15$$

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#5:

Instructions: graph each and give the x and y intercepts.

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

$$b)\hspace{.2em}9x + 5y=-20$$

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Written Solutions:

#1:

Solutions:

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

b) x-intercept: (-4/3,0), y-intercept: (0,-4)

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#2:

Solutions:

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

b) x-intercept: (-2,0), y-intercept: none

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#3:

Solutions:

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

b) x-intercept: none, y-intercept: (0,-8)

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#4:

Solutions:

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

b) x-intercept: (15/4,0), y-intercept: (0,-3)

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#5:

Solutions:

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

b) x-intercept: (-20/9,0), y-intercept: (0,-4)