document.write( "Question 189777: Find the slope, if it exists, of the line containing the pair of points.
\n" ); document.write( "(9,2) and (10,-5)
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Algebra.Com's Answer #142393 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Given points: (9,2) & (10,-5)
\n" ); document.write( "where\"system%28x%5B1%5D=9%2Cx%5B2%5D=10%2Cy%5B1%5D=2%2Cy%5B2%5D=-5%29\"\r
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\n" ); document.write( "\n" ); document.write( "Via Slope-Point Form, \"Slope=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"
\n" ); document.write( "\"m=%28-5-2%29%2F%2810-9%29=-7%2F1=highlight%28-7%29\", answer\r
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\n" ); document.write( "\n" ); document.write( "*If you want to see the graph, let's check the intercepts.\r
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\n" ); document.write( "\n" ); document.write( "Via Slope-Intercept Form, \"y=mx%2Bb\"
\n" ); document.write( "Thru point (9,2):
\n" ); document.write( "\"2=%28-7%29%2A%289%29%2Bb\"
\n" ); document.write( "\"2=-63%2Bb\" ---> \"b=2%2B63=red%2865%29\", y-Intercept\r
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\n" ); document.write( "\n" ); document.write( "Another point (10,-5),(should be the same):
\n" ); document.write( "\"-5=%28-7%29%2810%29%2Bb\"
\n" ); document.write( "\"-5=-70%2Bb\" ---> \"b=-5%2B70=red%2865%29\", y-Intercept\r
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\n" ); document.write( "\n" ); document.write( "We let Fy=0, to get x-Intercept:
\n" ); document.write( "\"0=%28-7%29%28x%29%2B65\"
\n" ); document.write( "\"7x=75\" ----> \"cross%287%29x%2Fcross%287%29=65%2F7\"
\n" ); document.write( "\"red%28x=65%2F7%29\", x-Intercept\r
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\n" ); document.write( "\n" ); document.write( "Therefore, your Line Eqn ----> y=-7x+65\r
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\n" ); document.write( "\n" ); document.write( "Having \"Slope=m=-7%2F1=DELTA%28y%29%2FDELTA%28x%29=%28up%2Adown%29%2F%28let%2Aright%29\"\r
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\n" ); document.write( "\n" ); document.write( "From y-Intercept (0,65):\r
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\n" ); document.write( "\n" ); document.write( "Next point,
\n" ); document.write( "X:\"0%2Bred%281%29=1\"
\n" ); document.write( "Y:\"65%2Bred%28-7%29=58\"
\n" ); document.write( "(1,58)\r
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\n" ); document.write( "\n" ); document.write( "Next point,
\n" ); document.write( "X: \"1%2Bred%281%29=2\"
\n" ); document.write( "Y: \"58%2Bred%28-7%29=51\"
\n" ); document.write( "(2,51)\r
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\n" ); document.write( "\n" ); document.write( "Next point,
\n" ); document.write( "X: \"2%2Bred%281%29=3\"
\n" ); document.write( "Y: \"51%2Bred%28-7%29=44\"
\n" ); document.write( "(3,44)\r
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\n" ); document.write( "\n" ); document.write( "You can do the other points, and from what we gathered we'll see the graph,\r
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\n" ); document.write( "\n" ); document.write( " ----> Slope in GREEN dots\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\r
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