document.write( "Question 443259: let L be a line that is neither vertical nor horizontal and which does not pass through the origin. Show that L is the graph of (x/a) + (y/b) = 1, where a is the x-intercept and b is the y-intercept of L. \n" ); document.write( "
Algebra.Com's Answer #305756 by swincher4391(1107)\"\" \"About 
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Multiply both sides by ab:\r
\n" ); document.write( "\n" ); document.write( "\"ab%28%28x%2Fa%29+%2B+%28y%2Fb%29%29+=+1%29\"
\n" ); document.write( "\"bx+%2B+ay+=+ab\"
\n" ); document.write( "\"ay+=+ab-bx\"
\n" ); document.write( "\"ay+=+b%28a-x%29\"
\n" ); document.write( "\"y+=+b%281-x%2Fa%29\"
\n" ); document.write( "\"+y+=+%28-b%2Fa%29x+%2B+b\"
\n" ); document.write( "Then by slope-intercept, b is the y-intercept.
\n" ); document.write( "To solve for the x intercept, let y = 0.\r
\n" ); document.write( "\n" ); document.write( "\"0+=+%28-b%2Fa%29x+%2B+b\"
\n" ); document.write( "\"-b+=+%28-b%2Fa%29x\"
\n" ); document.write( "\"-b%28-a%2Fb%29+=+x\"
\n" ); document.write( "\"%28cross%28-b%29%2Across%28-1%29%2Aa%29%2F%28cross%28b%29%29+=+x\"
\n" ); document.write( "\"a+=+x\"\r
\n" ); document.write( "\n" ); document.write( "Then a is the x-intercept.\r
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