document.write( "Question 1134566: Find a general linear equation ​(Ax+By+C=0, where​ A, B, and C are​ integers) of the straight line that has the indicated​ properties, and sketch the line.\r
\n" ); document.write( "\n" ); document.write( "Passes through(−4,5) and (3,8)
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Algebra.Com's Answer #751983 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "a general linear equation: ​\"Ax%2BBy%2BC=0\"\r
\n" ); document.write( "\n" ); document.write( "passes through (\"-4\",\"5\") and (\"3\",\"8\") \r
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\n" ); document.write( "\n" ); document.write( "first use points to find a slope \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%288-5%29%2F%283-%28-4%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%288-5%29%2F%283%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=3%2F7\"\r
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\n" ); document.write( "\n" ); document.write( "now use point slope form to find equation:\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"...plug in \"m\" and coordinates of the point (\"-4\",\"5\")\r
\n" ); document.write( "\n" ); document.write( "\"y-5=%283%2F7%29%28x-%28-4%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y-5=%283%2F7%29%28x%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y-5=3x%2F7%2B12%2F7\"............both sides multiply by \"7\"\r
\n" ); document.write( "\n" ); document.write( "\"7y-35=3x%2B12\"\r
\n" ); document.write( "\n" ); document.write( "\"-3x%2B7y-35-12=0\"\r
\n" ); document.write( "\n" ); document.write( "\"-3x%2B7y-47=0\"\r
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