Working in Pairs

Are two heads better than one?
OBJECTIVE: To learn how to describe systems of linear equations
[br]In a previous lesson, you learned about the properties of special pairs of lines—[color=#0000ff]parallel[/color] lines and [color=#0000ff]perpendicular[/color] lines.[br][br][i][color=#0000ff]Watching 'Em Dance[/color][/i]: https://www.geogebra.org/m/arfhcasa[br][br]In this lesson, you'll be introduced to other pairs of lines and be able to describe them as:[br][br]1. [color=#0000ff]consistent and independent[/color], [color=#0000ff]inconsistent[/color], or [color=#0000ff]dependent[/color].[br][color=#0000ff]2. intersecting, parallel, [/color]or[color=#0000ff] coincident[br][/color]3. [color=#0000ff]having one solution, no solution, [/color]or[color=#0000ff] infinitely many solutions[/color]
INSTRUCTIONS:
[br]1. Write each pair of lines in [i][color=#0000ff]SLOPE-INTERCEPT FORM (y = mx + b)[/color][/i]. The first has been done for you. [br][br] Pair 1st Equation Slope-Intercept Form 2nd Equation Slope-Intercept Form[br][br] A [img]data:image/png;base64,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[/img] [img]data:image/png;base64,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[/img] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAQCAYAAAB+690jAAABMklEQVRIDd2UsY1CMQyG/0NIJyFRXEFFcxUdHSPQsgP19fQMwALMcRPcBrcBIzAC6JP8I/P0EhB6eggsRUkc2/nt/I70AjJswThq0T2iasb+kPRZCsTBKcZfGOFwCN1PyfFOvWMTz/Ifsb+tyDNV2EgCDM7svd5KmidjwH8VxkTSINl6ib/jjUM5qwGyIwGdDbOdfc4M8GzTXHPeJtPwW8UhlSndceXvZ1pcabvZAGAXoag8+6pkLpUAUTXKTYbNgb5IVEnwhoThJ2DWVTRh5AplAmY/CE6w0qg1gHnqZ89xL2syOqaO4oCycuFvnJFRF0JFnAjVbBU6ykZ0D8Js3TJ0XUzmzf5WsK4qULvH/IRHTxMaA+LzD1HxEi97A+gGAczNZ+oDFR8tH6G52cedb3zHGZ4+UMSeUH3WAAAAAElFTkSuQmCC[/img] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAQCAYAAABz9a1kAAABGElEQVRIDe2UvQ0CMQyFHwgJCYmCgoqGio4taNmBmp6eAViABViACdiADRiBEUAfZ5/M6RK4hqO4J0Wxk/j5V5E65CswlrSRtA7PkHdBbyr2JK0kbYPhSNJB0jKcvYlnSQ9bPAYYcDY1vel2CZw4HgR9nyOb2EOyADPT+6azebB1e8w8mLxsrpLukkgYUK0scHCyFxCjRxAsFWKPi7NhfBhkWgwPgXwNZsINMK5mSSZUqG6lsmT24Mq2oxohjimjZxHvcQRhatU58va6TeTLypC5UXKyswzFJXN2NC6So3XwcsacpKpXUnsZfU7Ki4aCVxTHjpsF8/FL8NLTmp+DSSfChUVL1K1gbgHQPz6wVsF/wK/X4S8q8AQsGEY8eJTQqwAAAABJRU5ErkJggg==[/img][br][br] B [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________[br][br] C [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________[br][br] D [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAATCAYAAAAao7T0AAABM0lEQVRIDe2Uuw0CQQxEBxIkJAICIhIiMjogJCUlJiYnpwAaoAEaoAI6oANKoATQkzzSYR134qcjwJK18p537J0dn/S332JgKeksadh0WxNJ1/BRXTMtSe2U1EnxqyG4boS1spldIbkbFeexx7d37RhY01grm+HjKhJZMZjiFoeIWWCq/8AHJcxyxpfimThby4zrkXiKwM0gOts6wMgrc74XDZbJ28cmwiWuZMYA20gm5qYcfEf5TA4Y1t44YliqNSueRJ7nkk70JAHIzbKz76Icy6Klqex5YO7KmUY3lVmxrjKoY+vNoAgWzeAzSR6UTew5r3R1M4B/YopykaeeHup9ywz0idj4mfFSbP8P0Ma3rKiruxqM3iLm38qHykbMtPE0TI7/vo00w2jBDGP5t59j4AaoQVGscfULWgAAAABJRU5ErkJggg==[/img] ________ [img]data:image/png;base64,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[/img] ________[br][br] E [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________[br][br] F [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________[br] [br] G [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________[br] H [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________ [br][br] I [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAAAOCAYAAAChHnWMAAAA+0lEQVRIDe2UPQoCQQyFnyIIgoWFvZWdnaWlZ/AQ9vYewNt4Ak/iETyC8kHihnHCiG6ngSHZ5OVNfoaV/pJPYFQJTSq+T117SesseSzpbudioIGkq/lI/laOxnXIiOiWIAVQDN9uk7wKiRQ8S85c0jBg3VwYL9zNhiDxiaCnzhI0xUZMaZedMlEwG2usjAfqzvQVpLvroG9ZZ7scMNzNIuLbyIpgOktJjLg8+OFwgYMp4GfF2KcC49inBuSTQNeEnYLLTtz5LsHdSmIqx+mXE6daLmGUxNhrH8IdPPQX8TFxKa8eQXunW/P1oeBM30RfnbYKrf0MWzk/En8A9x1G/co6gAUAAAAASUVORK5CYII=[/img] ________ [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAATCAYAAAAao7T0AAABM0lEQVRIDe2Uuw0CQQxEBxIkJAICIhIiMjogJCUlJiYnpwAaoAEaoAI6oANKoATQkzzSYR134qcjwJK18p537J0dn/S332JgKeksadh0WxNJ1/BRXTMtSe2U1EnxqyG4boS1spldIbkbFeexx7d37RhY01grm+HjKhJZMZjiFoeIWWCq/8AHJcxyxpfimThby4zrkXiKwM0gOts6wMgrc74XDZbJ28cmwiWuZMYA20gm5qYcfEf5TA4Y1t44YliqNSueRJ7nkk70JAHIzbKz76Icy6Klqex5YO7KmUY3lVmxrjKoY+vNoAgWzeAzSR6UTew5r3R1M4B/YopykaeeHup9ywz0idj4mfFSbP8P0Ma3rKiruxqM3iLm38qHykbMtPE0TI7/vo00w2jBDGP5t59j4AaoQVGscfULWgAAAABJRU5ErkJggg==[/img] ________[br][br] J [img]data:image/png;base64,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[/img] ________ [img]data:image/png;base64,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[/img] ________[br][br]2. Enter the [color=#0000ff][i]SLOPE-INTERCEPT FORM[/i][/color] of each pair of lines in their respective boxes in the applet below. [br][br]3. Take note of the description that appears after the applet graphs each pair of lines.[br][br]4. Answer the questions that follow the activity.
[color=#0000ff]QUESTION:[/color] What description appears if the slopes of the two lines are not equal?
[color=#0000ff]QUESTION:[/color] What description appears if the slopes of the two lines are equal, but the y-intercepts are not equal?
[color=#0000ff]QUESTION:[/color] What description appears if the slopes of the two lines are equal, and the y-intercepts are also equal?
TODAY you learned how to describe systems of linear equations.
In future lessons, you'll learn how to find the solution of systems of linear equations graphically and algebraically. Did you ENJOY doing today's lesson?
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Informatie: Working in Pairs