document.write( "Question 944988: Determine the equation of a lineˏ in slope-intercept formˏ that passes through the points (6, 1) and (-10, 9)
\n" ); document.write( " a.) y= -1/2x + 4
\n" ); document.write( " b.) y= -1/2x - 2
\n" ); document.write( " c.) y= -2x + 8
\n" ); document.write( " d.) y= -2x+ 13
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Algebra.Com's Answer #576218 by MathLover1(20850)\"\" \"About 
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the equation of a line in slope-intercept form:\r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\" where \"m\" is a slope and \"b\" y-intercept\r
\n" ); document.write( "\n" ); document.write( "we will use given points (\"6\",\"+1\") and (\"-10\", \"9\") to set up system and solve it for \"m\" and \"b\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\" if (\"6\",\"+1\") then we have\r
\n" ); document.write( "\n" ); document.write( "\"1=m%2A6%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"1=6m%2Bb\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\" if (\"-10\",\"+9\") then we have\r
\n" ); document.write( "\n" ); document.write( "\"9=m%2A%28-10%29%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"9=-10m%2Bb\".....eq.2\r
\n" ); document.write( "\n" ); document.write( "so, the system is:\r
\n" ); document.write( "\n" ); document.write( "\"1=6m%2Bb\".....eq.1
\n" ); document.write( "\"9=-10m%2Bb\".....eq.2
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\n" ); document.write( "\n" ); document.write( "start with \"1=6m%2Bb\".....eq.1, solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"1-6m=b\"...substitute in eq.2\r
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\n" ); document.write( "\n" ); document.write( "\"9=-10m%2B1-6m\".....eq.2, solve for \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"9-1=-16m\"\r
\n" ); document.write( "\n" ); document.write( "\"8=-16m\"\r
\n" ); document.write( "\n" ); document.write( "\"16m=-8\"\r
\n" ); document.write( "\n" ); document.write( "\"m=-8%2F16\"\r
\n" ); document.write( "\n" ); document.write( "\"m=-%281%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "now find \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1-6m\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1-6%28-1%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1-cross%286%293%28-1%2Fcross%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1-3%28-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1%2B3\"\r
\n" ); document.write( "\n" ); document.write( "\"b=4\" \r
\n" ); document.write( "\n" ); document.write( "so, your equation is: \"y=-%281%2F2%29x%2B4\"\r
\n" ); document.write( "\n" ); document.write( "and your answer is a.) \r
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