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)
