document.write( "Question 783310: Write in slope-intercept form (if possible) and standard form an equation of the line described\r
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document.write( "perpendicular to 4x – 3y = 2 and contains (1, 2) \n" );
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Algebra.Com's Answer #476659 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 4 x + -3 y = 2 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "-3 y = -4 x + 2 \n" ); document.write( "Divide by -3 \n" ); document.write( " y = 1 1/ 3 x + - 2/3 \n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept \n" ); document.write( "slope m = 1 1/3 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal - 3/4 \n" ); document.write( "Because m1*m2 =-1 \n" ); document.write( "The slope of the required line will be - 3/4 \n" ); document.write( " \n" ); document.write( "m= - 3/4 ,point ( 1 , 2 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "2 = - 3/ 4 + b \n" ); document.write( "b= 11/4 \n" ); document.write( "m= - 3/4 \n" ); document.write( "The required equation is y = - 3/ 4 x + 11/ 4 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "multiply by 4\r \n" ); document.write( "\n" ); document.write( "4y=-3x+11\r \n" ); document.write( "\n" ); document.write( "3x+4y=11 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |