document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152294>Question 152294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the slope of the line that passes through each pair of points.<BR>\n" );
document.write( "1.(5,1) and (2,7)\r<BR>\n" );
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document.write( "2.(5,3)and(-2,3)\r<BR>\n" );
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document.write( "3.(-1/2,-2)and(-3/2,1)\r<BR>\n" );
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document.write( "4.(2,-4)and(2,6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111996 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help<BR>\n" );
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document.write( "Determine the slope of the line that passes through each pair of points.<BR>\n" );
document.write( "1.(5,1) and (2,7) <BR>\n" );
document.write( "2.(5,3)and(-2,3) <BR>\n" );
document.write( "3.(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2)and(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,1) <BR>\n" );
document.write( "4.(2,-4)and(2,6)<BR>\n" );
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document.write( "The First Points in our problem( (5,1) , (5,3) , ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F2+ ALIGN=MIDDLE  ALT=\"+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2), and (2,-4))<BR>\n" );
document.write( "will be (x1,y1) ( In (5,1) 5 = x1, 1 = y1 )<BR>\n" );
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document.write( "The Second Points in our problem( (2,7) , (-2,3) , ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3%2F2+ ALIGN=MIDDLE  ALT=\"+-3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,1), and (2,6))<BR>\n" );
document.write( "will be (x2,y2) ( In (2,6) 2 = x2, 6 = y2 )<BR>\n" );
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document.write( "The equation to find the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can now find the slope in each problem, we will do them one at a time<BR>\n" );
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document.write( "Find the slope of a line that passes through (5,1) and (2,7)<BR>\n" );
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document.write( "(5,1) (x1,y1) and (2,7) (x2,y2)<BR>\n" );
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document.write( "Our equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can replace the letters with numbers<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287-1%29%2F%282-5%29+ ALIGN=MIDDLE  ALT=\"+%287-1%29%2F%282-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287-1%29%2F%282-5%29+ ALIGN=MIDDLE  ALT=\"+%287-1%29%2F%282-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%29%2F%28-3%29+ ALIGN=MIDDLE  ALT=\"+%286%29%2F%28-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%29%2F%28-3%29+ ALIGN=MIDDLE  ALT=\"+%286%29%2F%28-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2%2F1+ ALIGN=MIDDLE  ALT=\"+-2%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or (-2)<BR>\n" );
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document.write( "The slope of a line that passes through (5,1) and (2,7) is = (-2)<BR>\n" );
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document.write( "Now we will solve our second slope<BR>\n" );
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document.write( "Find the slope of a line that passes through (5,3)and(-2,3)<BR>\n" );
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document.write( "(5,3) (x1,y1) and (-2,3) (x2,y2)<BR>\n" );
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document.write( "We can switch the two points, and we can still find the slope<BR>\n" );
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document.write( "(-2,3)(x1,y1) and (5,3) (x2,y2) <BR>\n" );
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document.write( "( the letters don't change, The first point in a pair will always be (x1,y1), the second point will always be (x2,y2))<BR>\n" );
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document.write( "(5,3) (x1,y1) and (-2,3) (x2,y2)<BR>\n" );
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document.write( "equation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will replace letters with numbers<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283+-+3%29%2F%28%28-2%29+-+5%29+ ALIGN=MIDDLE  ALT=\"+%283+-+3%29%2F%28%28-2%29+-+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283+-+3%29%2F%28%28-2%29+-+5%29+ ALIGN=MIDDLE  ALT=\"+%283+-+3%29%2F%28%28-2%29+-+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%2F+-7+ ALIGN=MIDDLE  ALT=\"+0%2F+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or \"0\"<BR>\n" );
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document.write( " The slope of a line that passes through (5,3)and(-2,3) is = \"0\"<BR>\n" );
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document.write( "We will solve the third slope<BR>\n" );
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document.write( "Find the slope of a line that passes through (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2)and(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,1)<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2)(x1,y1) and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,1) (x2,y2)<BR>\n" );
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document.write( "equation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will replace letters with numbers<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281+-+%28-2%29%29%2F%28%28-3%2F2%29-%28-1%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+%281+-+%28-2%29%29%2F%28%28-3%2F2%29-%28-1%2F2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281+-+%28-2%29%29%2F%28%28-3%2F2%29-%28-1%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+%281+-+%28-2%29%29%2F%28%28-3%2F2%29-%28-1%2F2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2F%28-1%29+ ALIGN=MIDDLE  ALT=\"+3+%2F%28-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or (-3)<BR>\n" );
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document.write( "The slope of a line that passes through (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2)and(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,1) is = (-3)<BR>\n" );
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document.write( "We will now solve our last slope<BR>\n" );
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document.write( "Find the slope of a line that passes through (2,-4)and(2,6)<BR>\n" );
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document.write( "(2,-4) (x1,y1) and (2,6) (x2,y2)<BR>\n" );
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document.write( "Our equation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will replace the letters with numbers<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286-%28-4%29%29%2F%282-2%29+ ALIGN=MIDDLE  ALT=\"+%286-%28-4%29%29%2F%282-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286-%28-4%29%29%2F%282-2%29+ ALIGN=MIDDLE  ALT=\"+%286-%28-4%29%29%2F%282-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+%2F+0+ ALIGN=MIDDLE  ALT=\"+10+%2F+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or \"no slope\"( you can't divide a number by \"0\")<BR>\n" );
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document.write( "The slope of a line that passes through (2,-4)and(2,6) is = \"no slope\"<BR>\n" );
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document.write( "The four slopes are<BR>\n" );
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document.write( "1.(5,1) and (2,7)       (slope = (-2))<BR>\n" );
document.write( "2.(5,3)and(-2,3)        (slope = \"0\")<BR>\n" );
document.write( "3.(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2)and(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,1)  (slope = (-3))<BR>\n" );
document.write( "4.(2,-4)and(2,6)        (slope = \"no slope\")<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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