document.write( "Question 78146: Hi,\r
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document.write( "Here is the problem I am having troubles with. Any help would be greatly appreciated
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document.write( "Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 2y = 8 and passing through (1, -6). \n" );
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Algebra.Com's Answer #56047 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! x+2y=8 \n" ); document.write( "2y=-x+8 \n" ); document.write( "y=-x/2+8/2 \n" ); document.write( "y=-x/2+4 THUS THIS LINE HAS A SLOPE OF(m)=(-1/2) \n" ); document.write( "THUS A PERPENDICULAR LINE HAS A SLOPE OF +2. \n" ); document.write( "NOW REPLACE THE X & Y TERMS WITH 1 & -6 & SOLVE FOR THE Y INTERCEPT(b) \n" ); document.write( "Y=mX+b \n" ); document.write( "-6=2*1+b \n" ); document.write( "-6=2+b \n" ); document.write( "b=-6-2 \n" ); document.write( "b=-8 THE Y INTERCEPT. THUS THE EQUATION IS: \n" ); document.write( "Y=2X-8 \n" ); document.write( "the red line is the original line & the green line is the perpendicular line. \n" ); document.write( " |