document.write( "Question 371607: My homework question states: Write the equation of the linear function whose graph contains the point (-2,4) and is perpendicular to the line whose equation is 2x+y=10. \r
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document.write( "How do I solve this? \n" );
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Algebra.Com's Answer #264699 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (-2,4) and is perpendicular to the line whose equation is \n" ); document.write( "2x+y=10 ( red line). \n" ); document.write( "Y=-2X+10 THIS LINE HAS A SLOPE=-2 \n" ); document.write( "THEREFORE A PERPENDICULAR LINE WILL HAVE A SLOPE=+1/2 (THE NEGATIVE RECIPRICAL) \n" ); document.write( "Y=mX+b where m=slope & b=the y intercept. \n" ); document.write( "Substitute the values of the X & Y points & solve for b. \n" ); document.write( "4=1/2*-2+b \n" ); document.write( "4=-1+b \n" ); document.write( "b=4+1 \n" ); document.write( "b=5 Thus the equation is: \n" ); document.write( "Y=X/2+5 (green line) \n" ); document.write( " |